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Finding the Fourth Proportional to 724.31, 1,086.62 and 237.32

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Solution

The fourth proportional to 724.31, 1,086.62 and 237.32 is: 356.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.31 : 1,086.62 = 237.32 : x
  2. Step 2: Convert to fraction form
    724.31/1,086.62 = 237.32/x
  3. Step 3: Cross multiply
    724.31x = 1,086.62 × 237.32
  4. Step 4: Simplify right side
    724.31x = 257,872.76
  5. Step 5: Solve for x
    x = 257,872.76/724.31
  6. Step 6: Final answer
    x = 356.03

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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.