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Finding the Fourth Proportional to 724.28, 998.17 and 514.47

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Solution

The fourth proportional to 724.28, 998.17 and 514.47 is: 709.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.28 : 998.17 = 514.47 : x
  2. Step 2: Convert to fraction form
    724.28/998.17 = 514.47/x
  3. Step 3: Cross multiply
    724.28x = 998.17 × 514.47
  4. Step 4: Simplify right side
    724.28x = 513,527.23
  5. Step 5: Solve for x
    x = 513,527.23/724.28
  6. Step 6: Final answer
    x = 709.02

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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.