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Finding the Fourth Proportional to 523.72, 781.61 and 502.53

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Solution

The fourth proportional to 523.72, 781.61 and 502.53 is: 749.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.72 : 781.61 = 502.53 : x
  2. Step 2: Convert to fraction form
    523.72/781.61 = 502.53/x
  3. Step 3: Cross multiply
    523.72x = 781.61 × 502.53
  4. Step 4: Simplify right side
    523.72x = 392,777.03
  5. Step 5: Solve for x
    x = 392,777.03/523.72
  6. Step 6: Final answer
    x = 749.97

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.