Since the ratio of goals to misses was 4:7, then the ratio of misses to goals is 7:4. Let x be the amount of misses, since Peter scored 36 goals, then x:36 should be equal to 7:4
[tex]\frac{x}{36}=\frac{7}{4}[/tex]Multiply both sides by 36 to find x:
[tex]\begin{gathered} \frac{x}{36}\times36=\frac{7}{4}\times36 \\ \Rightarrow x=63 \end{gathered}[/tex]Therefore, the amount of times that he missed, is:
[tex]63[/tex]