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Finding the Fourth Proportional to 781.52, 1,169.06 and 713.09

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Solution

The fourth proportional to 781.52, 1,169.06 and 713.09 is: 1,066.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    781.52 : 1,169.06 = 713.09 : x
  2. Step 2: Convert to fraction form
    781.52/1,169.06 = 713.09/x
  3. Step 3: Cross multiply
    781.52x = 1,169.06 × 713.09
  4. Step 4: Simplify right side
    781.52x = 833,635.58
  5. Step 5: Solve for x
    x = 833,635.58/781.52
  6. Step 6: Final answer
    x = 1,066.69

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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.