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Finding the Fourth Proportional to 724.24, 1,086.42 and 237.28

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Solution

The fourth proportional to 724.24, 1,086.42 and 237.28 is: 355.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.24 : 1,086.42 = 237.28 : x
  2. Step 2: Convert to fraction form
    724.24/1,086.42 = 237.28/x
  3. Step 3: Cross multiply
    724.24x = 1,086.42 × 237.28
  4. Step 4: Simplify right side
    724.24x = 257,785.74
  5. Step 5: Solve for x
    x = 257,785.74/724.24
  6. Step 6: Final answer
    x = 355.94

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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.