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Finding the Fourth Proportional to 1,781.01, 2,672.55 and 686.25

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Solution

The fourth proportional to 1,781.01, 2,672.55 and 686.25 is: 1,029.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.01 : 2,672.55 = 686.25 : x
  2. Step 2: Convert to fraction form
    1,781.01/2,672.55 = 686.25/x
  3. Step 3: Cross multiply
    1,781.01x = 2,672.55 × 686.25
  4. Step 4: Simplify right side
    1,781.01x = 1,834,037.44
  5. Step 5: Solve for x
    x = 1,834,037.44/1,781.01
  6. Step 6: Final answer
    x = 1,029.77

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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.