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Finding the Fourth Proportional to 1,131.39, 1,694.15 and 781.07

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Solution

The fourth proportional to 1,131.39, 1,694.15 and 781.07 is: 1,169.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.39 : 1,694.15 = 781.07 : x
  2. Step 2: Convert to fraction form
    1,131.39/1,694.15 = 781.07/x
  3. Step 3: Cross multiply
    1,131.39x = 1,694.15 × 781.07
  4. Step 4: Simplify right side
    1,131.39x = 1,323,249.74
  5. Step 5: Solve for x
    x = 1,323,249.74/1,131.39
  6. Step 6: Final answer
    x = 1,169.58

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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.