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Finding the Fourth Proportional to 724.36, 998.58 and 517

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Solution

The fourth proportional to 724.36, 998.58 and 517 is: 712.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.36 : 998.58 = 517 : x
  2. Step 2: Convert to fraction form
    724.36/998.58 = 517/x
  3. Step 3: Cross multiply
    724.36x = 998.58 × 517
  4. Step 4: Simplify right side
    724.36x = 516,265.86
  5. Step 5: Solve for x
    x = 516,265.86/724.36
  6. Step 6: Final answer
    x = 712.72

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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.