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Finding the Fourth Proportional to 1,687.41, 2,531.70 and 763.38

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Solution

The fourth proportional to 1,687.41, 2,531.70 and 763.38 is: 1,145.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.41 : 2,531.70 = 763.38 : x
  2. Step 2: Convert to fraction form
    1,687.41/2,531.70 = 763.38/x
  3. Step 3: Cross multiply
    1,687.41x = 2,531.70 × 763.38
  4. Step 4: Simplify right side
    1,687.41x = 1,932,649.15
  5. Step 5: Solve for x
    x = 1,932,649.15/1,687.41
  6. Step 6: Final answer
    x = 1,145.33

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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.