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Finding the Fourth Proportional to 724.97, 1,086.23 and 518.49

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Solution

The fourth proportional to 724.97, 1,086.23 and 518.49 is: 776.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.97 : 1,086.23 = 518.49 : x
  2. Step 2: Convert to fraction form
    724.97/1,086.23 = 518.49/x
  3. Step 3: Cross multiply
    724.97x = 1,086.23 × 518.49
  4. Step 4: Simplify right side
    724.97x = 563,200.69
  5. Step 5: Solve for x
    x = 563,200.69/724.97
  6. Step 6: Final answer
    x = 776.86

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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.