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Finding the Fourth Proportional to 1,781.80, 2,672.81 and 686.17

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Solution

The fourth proportional to 1,781.80, 2,672.81 and 686.17 is: 1,029.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.80 : 2,672.81 = 686.17 : x
  2. Step 2: Convert to fraction form
    1,781.80/2,672.81 = 686.17/x
  3. Step 3: Cross multiply
    1,781.80x = 2,672.81 × 686.17
  4. Step 4: Simplify right side
    1,781.80x = 1,833,989.87
  5. Step 5: Solve for x
    x = 1,833,989.87/1,781.80
  6. Step 6: Final answer
    x = 1,029.29

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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.