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Finding the Fourth Proportional to 928.29, 1,391.61 and 721.74

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Solution

The fourth proportional to 928.29, 1,391.61 and 721.74 is: 1,081.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    928.29 : 1,391.61 = 721.74 : x
  2. Step 2: Convert to fraction form
    928.29/1,391.61 = 721.74/x
  3. Step 3: Cross multiply
    928.29x = 1,391.61 × 721.74
  4. Step 4: Simplify right side
    928.29x = 1,004,380.60
  5. Step 5: Solve for x
    x = 1,004,380.60/928.29
  6. Step 6: Final answer
    x = 1,081.97

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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.