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Finding the Fourth Proportional to 724.31, 1,086.30 and 204.37

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Solution

The fourth proportional to 724.31, 1,086.30 and 204.37 is: 306.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.31 : 1,086.30 = 204.37 : x
  2. Step 2: Convert to fraction form
    724.31/1,086.30 = 204.37/x
  3. Step 3: Cross multiply
    724.31x = 1,086.30 × 204.37
  4. Step 4: Simplify right side
    724.31x = 222,001.70
  5. Step 5: Solve for x
    x = 222,001.70/724.31
  6. Step 6: Final answer
    x = 306.50

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Double scale
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1.5x scale

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.