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Finding the Fourth Proportional to 724.38, 999.21 and 475.80

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Solution

The fourth proportional to 724.38, 999.21 and 475.80 is: 656.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.38 : 999.21 = 475.80 : x
  2. Step 2: Convert to fraction form
    724.38/999.21 = 475.80/x
  3. Step 3: Cross multiply
    724.38x = 999.21 × 475.80
  4. Step 4: Simplify right side
    724.38x = 475,424.12
  5. Step 5: Solve for x
    x = 475,424.12/724.38
  6. Step 6: Final answer
    x = 656.32

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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.