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Finding the Fourth Proportional to 724.05, 998.87 and 429.15

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Solution

The fourth proportional to 724.05, 998.87 and 429.15 is: 592.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.05 : 998.87 = 429.15 : x
  2. Step 2: Convert to fraction form
    724.05/998.87 = 429.15/x
  3. Step 3: Cross multiply
    724.05x = 998.87 × 429.15
  4. Step 4: Simplify right side
    724.05x = 428,665.06
  5. Step 5: Solve for x
    x = 428,665.06/724.05
  6. Step 6: Final answer
    x = 592.04

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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.