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Finding the Fourth Proportional to 523.70, 781.67 and 462.20

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Solution

The fourth proportional to 523.70, 781.67 and 462.20 is: 689.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.70 : 781.67 = 462.20 : x
  2. Step 2: Convert to fraction form
    523.70/781.67 = 462.20/x
  3. Step 3: Cross multiply
    523.70x = 781.67 × 462.20
  4. Step 4: Simplify right side
    523.70x = 361,287.87
  5. Step 5: Solve for x
    x = 361,287.87/523.70
  6. Step 6: Final answer
    x = 689.88

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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.