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Finding the Fourth Proportional to 724.80, 999.16 and 591.78

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Solution

The fourth proportional to 724.80, 999.16 and 591.78 is: 815.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.80 : 999.16 = 591.78 : x
  2. Step 2: Convert to fraction form
    724.80/999.16 = 591.78/x
  3. Step 3: Cross multiply
    724.80x = 999.16 × 591.78
  4. Step 4: Simplify right side
    724.80x = 591,282.90
  5. Step 5: Solve for x
    x = 591,282.90/724.80
  6. Step 6: Final answer
    x = 815.79

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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.