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Finding the Fourth Proportional to 1,687.11, 2,531.03 and 517.11

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Solution

The fourth proportional to 1,687.11, 2,531.03 and 517.11 is: 775.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.11 : 2,531.03 = 517.11 : x
  2. Step 2: Convert to fraction form
    1,687.11/2,531.03 = 517.11/x
  3. Step 3: Cross multiply
    1,687.11x = 2,531.03 × 517.11
  4. Step 4: Simplify right side
    1,687.11x = 1,308,818.34
  5. Step 5: Solve for x
    x = 1,308,818.34/1,687.11
  6. Step 6: Final answer
    x = 775.78

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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.