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Finding the Fourth Proportional to 724.50, 999.87 and 414.06

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Solution

The fourth proportional to 724.50, 999.87 and 414.06 is: 571.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.50 : 999.87 = 414.06 : x
  2. Step 2: Convert to fraction form
    724.50/999.87 = 414.06/x
  3. Step 3: Cross multiply
    724.50x = 999.87 × 414.06
  4. Step 4: Simplify right side
    724.50x = 414,006.17
  5. Step 5: Solve for x
    x = 414,006.17/724.50
  6. Step 6: Final answer
    x = 571.44

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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.