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Finding the Fourth Proportional to 532.32, 728.96 and 502.72

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Solution

The fourth proportional to 532.32, 728.96 and 502.72 is: 688.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    532.32 : 728.96 = 502.72 : x
  2. Step 2: Convert to fraction form
    532.32/728.96 = 502.72/x
  3. Step 3: Cross multiply
    532.32x = 728.96 × 502.72
  4. Step 4: Simplify right side
    532.32x = 366,462.77
  5. Step 5: Solve for x
    x = 366,462.77/532.32
  6. Step 6: Final answer
    x = 688.43

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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.