Finding the Fourth Proportional to 56.63, 77.68 and 53.53
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Solution
The fourth proportional to 56.63, 77.68 and 53.53 is: 73.42
Step by Step Solution
- Step 1: Write the proportion equation
56.63 : 77.68 = 53.53 : x - Step 2: Convert to fraction form
56.63/77.68 = 53.53/x - Step 3: Cross multiply
56.63x = 77.68 × 53.53 - Step 4: Simplify right side
56.63x = 4,157.82 - Step 5: Solve for x
x = 4,157.82/56.63 - Step 6: Final answer
x = 73.42
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Why These Related Problems?
These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.