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Finding the Fourth Proportional to 717.72, 1,074.92 and 428.52

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Solution

The fourth proportional to 717.72, 1,074.92 and 428.52 is: 641.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.72 : 1,074.92 = 428.52 : x
  2. Step 2: Convert to fraction form
    717.72/1,074.92 = 428.52/x
  3. Step 3: Cross multiply
    717.72x = 1,074.92 × 428.52
  4. Step 4: Simplify right side
    717.72x = 460,624.72
  5. Step 5: Solve for x
    x = 460,624.72/717.72
  6. Step 6: Final answer
    x = 641.79

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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.