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Finding the Fourth Proportional to 724.25, 1,086.37 and 515.13

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Solution

The fourth proportional to 724.25, 1,086.37 and 515.13 is: 772.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.25 : 1,086.37 = 515.13 : x
  2. Step 2: Convert to fraction form
    724.25/1,086.37 = 515.13/x
  3. Step 3: Cross multiply
    724.25x = 1,086.37 × 515.13
  4. Step 4: Simplify right side
    724.25x = 559,620.49
  5. Step 5: Solve for x
    x = 559,620.49/724.25
  6. Step 6: Final answer
    x = 772.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.