Balance is key when rock climbing. You need your whole body in sync working together to ensure that you don't fall. This is another skill that we teach in our rock climbing Adventure Ready series.
"Rock climbing requires a lot of complex movements. You need to keep in balance and constantly find equilibrium from your torso and maintain proper body tension. You need to effectively use your hands and arms to pull, push, and keep that essential balance and not get so pumped that your arms give out and you fall off. You need to have proper footwork to push and propel your body up a rock face as well as use feet and legs to help stay in balance." (Taken from - thoughtco.com)
We've linked to a few articles below that offer great advice and tips on how to improve your balance specifically for rock climbing.