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Finding the Fourth Proportional to 781.52, 1,169.01 and 723.20

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Solution

The fourth proportional to 781.52, 1,169.01 and 723.20 is: 1,081.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.52 : 1,169.01 = 723.20 : x
  2. Step 2: Convert to fraction form
    781.52/1,169.01 = 723.20/x
  3. Step 3: Cross multiply
    781.52x = 1,169.01 × 723.20
  4. Step 4: Simplify right side
    781.52x = 845,422.19
  5. Step 5: Solve for x
    x = 845,422.19/781.52
  6. Step 6: Final answer
    x = 1,081.77

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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.