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Finding the Fourth Proportional to 1,687.31, 2,531.15 and 591.38

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Solution

The fourth proportional to 1,687.31, 2,531.15 and 591.38 is: 887.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.31 : 2,531.15 = 591.38 : x
  2. Step 2: Convert to fraction form
    1,687.31/2,531.15 = 591.38/x
  3. Step 3: Cross multiply
    1,687.31x = 2,531.15 × 591.38
  4. Step 4: Simplify right side
    1,687.31x = 1,496,868.53
  5. Step 5: Solve for x
    x = 1,496,868.53/1,687.31
  6. Step 6: Final answer
    x = 887.13

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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.