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Finding the Fourth Proportional to 523.97, 724.65 and 460.18

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Solution

The fourth proportional to 523.97, 724.65 and 460.18 is: 636.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.97 : 724.65 = 460.18 : x
  2. Step 2: Convert to fraction form
    523.97/724.65 = 460.18/x
  3. Step 3: Cross multiply
    523.97x = 724.65 × 460.18
  4. Step 4: Simplify right side
    523.97x = 333,469.44
  5. Step 5: Solve for x
    x = 333,469.44/523.97
  6. Step 6: Final answer
    x = 636.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.