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Finding the Fourth Proportional to 781.01, 1,169.48 and 757.92

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Solution

The fourth proportional to 781.01, 1,169.48 and 757.92 is: 1,134.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.01 : 1,169.48 = 757.92 : x
  2. Step 2: Convert to fraction form
    781.01/1,169.48 = 757.92/x
  3. Step 3: Cross multiply
    781.01x = 1,169.48 × 757.92
  4. Step 4: Simplify right side
    781.01x = 886,374.18
  5. Step 5: Solve for x
    x = 886,374.18/781.01
  6. Step 6: Final answer
    x = 1,134.91

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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.