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Finding the Fourth Proportional to 1,517.31, 2,275.88 and 695.43

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Solution

The fourth proportional to 1,517.31, 2,275.88 and 695.43 is: 1,043.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,517.31 : 2,275.88 = 695.43 : x
  2. Step 2: Convert to fraction form
    1,517.31/2,275.88 = 695.43/x
  3. Step 3: Cross multiply
    1,517.31x = 2,275.88 × 695.43
  4. Step 4: Simplify right side
    1,517.31x = 1,582,711.75
  5. Step 5: Solve for x
    x = 1,582,711.75/1,517.31
  6. Step 6: Final answer
    x = 1,043.10

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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.