The three studies aim to comprehend the relationship between mental rotation and postural stability, with a specific focus on investigating the roles of two potential influencing factors: working memory and embodiment. These questions are addressed in two dual-task and one single-task experiment via classical frequentist, hierarchical, and Bayesian statistical approaches in healthy young adults. Overall, the results show that mental rotation interferes with postural stability when conducted simultaneously but is only weakly correlated when conducted in a single-task experiment. The dual-task experiments show higher postural sway for higher rotation angles in mental rotation tasks, a more stable stance during embodied than during non-embodied mental rotation tasks, and reaction time as a predictor of postural stability. The influence of different types of embodied stimulus material in mental rotation tasks on postural stability has yet to be clarified. Working memory seems to be no explanatory factor in the relationship between mental rotation ability and postural stability. This work shows how mental rotation ability and postural stability are related, emphasizes the role of embodiment, and gives directions for further research. When better understood, mental rotation training might be an interesting tool for rehabilitating patients with impaired postural control.