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Finding the Fourth Proportional to 1,001.66, 1,380.50 and 686.96

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Solution

The fourth proportional to 1,001.66, 1,380.50 and 686.96 is: 946.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,001.66 : 1,380.50 = 686.96 : x
  2. Step 2: Convert to fraction form
    1,001.66/1,380.50 = 686.96/x
  3. Step 3: Cross multiply
    1,001.66x = 1,380.50 × 686.96
  4. Step 4: Simplify right side
    1,001.66x = 948,348.28
  5. Step 5: Solve for x
    x = 948,348.28/1,001.66
  6. Step 6: Final answer
    x = 946.78

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.