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Finding the Fourth Proportional to 1,432.72, 2,149.26 and 701.92

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Solution

The fourth proportional to 1,432.72, 2,149.26 and 701.92 is: 1,052.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,432.72 : 2,149.26 = 701.92 : x
  2. Step 2: Convert to fraction form
    1,432.72/2,149.26 = 701.92/x
  3. Step 3: Cross multiply
    1,432.72x = 2,149.26 × 701.92
  4. Step 4: Simplify right side
    1,432.72x = 1,508,608.58
  5. Step 5: Solve for x
    x = 1,508,608.58/1,432.72
  6. Step 6: Final answer
    x = 1,052.97

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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.