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Finding the Fourth Proportional to 1,687.97, 2,531.13 and 957.35

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Solution

The fourth proportional to 1,687.97, 2,531.13 and 957.35 is: 1,435.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,687.97 : 2,531.13 = 957.35 : x
  2. Step 2: Convert to fraction form
    1,687.97/2,531.13 = 957.35/x
  3. Step 3: Cross multiply
    1,687.97x = 2,531.13 × 957.35
  4. Step 4: Simplify right side
    1,687.97x = 2,423,177.31
  5. Step 5: Solve for x
    x = 2,423,177.31/1,687.97
  6. Step 6: Final answer
    x = 1,435.56

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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.