diff --git a/dm_control/composer/entity.py b/dm_control/composer/entity.py
index c475a89e..0a78818f 100644
--- a/dm_control/composer/entity.py
+++ b/dm_control/composer/entity.py
@@ -480,7 +480,8 @@ def set_pose(self, physics, position=None, quaternion=None):
       if position is not None:
         physics.bind(root_joint).qpos[:3] = position
       if quaternion is not None:
-        physics.bind(root_joint).qpos[3:] = quaternion
+        normalised_quaternion = quaternion / np.linalg.norm(quaternion)
+        physics.bind(root_joint).qpos[3:] = normalised_quaternion
     else:
       attachment_frame = mjcf.get_attachment_frame(self.mjcf_model)
       if attachment_frame is None:
diff --git a/dm_control/locomotion/tasks/reference_pose/tracking_test.py b/dm_control/locomotion/tasks/reference_pose/tracking_test.py
index 8ba42e35..83a08828 100644
--- a/dm_control/locomotion/tasks/reference_pose/tracking_test.py
+++ b/dm_control/locomotion/tasks/reference_pose/tracking_test.py
@@ -215,7 +215,9 @@ def test_prop_factory(self):
 
     # Test that props go to the expected location on reset.
     for ref_key, obs_key in zip(REFERENCE_PROP_KEYS, PROP_OBSERVATION_KEYS):
-      np.testing.assert_array_equal(observation[ref_key], observation[obs_key])
+      np.testing.assert_array_almost_equal(
+          observation[ref_key], observation[obs_key]
+      )
 
   def test_ghost_prop(self):
     task = tracking.MultiClipMocapTracking(
@@ -242,7 +244,7 @@ def test_ghost_prop(self):
         np.squeeze(observation[key]) for key in REFERENCE_PROP_KEYS)
 
     np.testing.assert_array_equal(np.array(ghost_pos), goal_pos + GHOST_OFFSET)
-    np.testing.assert_array_equal(ghost_quat, goal_quat)
+    np.testing.assert_array_almost_equal(ghost_quat, goal_quat)
 
   def test_disable_props(self):
     task = tracking.MultiClipMocapTracking(