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Finding the Fourth Proportional to 523.97, 724.65 and 458.36

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Solution

The fourth proportional to 523.97, 724.65 and 458.36 is: 633.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.97 : 724.65 = 458.36 : x
  2. Step 2: Convert to fraction form
    523.97/724.65 = 458.36/x
  3. Step 3: Cross multiply
    523.97x = 724.65 × 458.36
  4. Step 4: Simplify right side
    523.97x = 332,150.57
  5. Step 5: Solve for x
    x = 332,150.57/523.97
  6. Step 6: Final answer
    x = 633.91

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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.