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Finding the Fourth Proportional to 724.48, 998.40 and 517.12

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Solution

The fourth proportional to 724.48, 998.40 and 517.12 is: 712.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.48 : 998.40 = 517.12 : x
  2. Step 2: Convert to fraction form
    724.48/998.40 = 517.12/x
  3. Step 3: Cross multiply
    724.48x = 998.40 × 517.12
  4. Step 4: Simplify right side
    724.48x = 516,292.61
  5. Step 5: Solve for x
    x = 516,292.61/724.48
  6. Step 6: Final answer
    x = 712.64

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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.