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Finding the Fourth Proportional to 724.27, 1,086.84 and 354.97

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Solution

The fourth proportional to 724.27, 1,086.84 and 354.97 is: 532.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    724.27 : 1,086.84 = 354.97 : x
  2. Step 2: Convert to fraction form
    724.27/1,086.84 = 354.97/x
  3. Step 3: Cross multiply
    724.27x = 1,086.84 × 354.97
  4. Step 4: Simplify right side
    724.27x = 385,795.59
  5. Step 5: Solve for x
    x = 385,795.59/724.27
  6. Step 6: Final answer
    x = 532.67

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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.