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Finding the Fourth Proportional to 724.12, 998.92 and 462.40

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Solution

The fourth proportional to 724.12, 998.92 and 462.40 is: 637.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.12 : 998.92 = 462.40 : x
  2. Step 2: Convert to fraction form
    724.12/998.92 = 462.40/x
  3. Step 3: Cross multiply
    724.12x = 998.92 × 462.40
  4. Step 4: Simplify right side
    724.12x = 461,900.61
  5. Step 5: Solve for x
    x = 461,900.61/724.12
  6. Step 6: Final answer
    x = 637.88

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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.