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Finding the Fourth Proportional to 1,352.15, 1,865.97 and 731.15

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Solution

The fourth proportional to 1,352.15, 1,865.97 and 731.15 is: 1,008.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,352.15 : 1,865.97 = 731.15 : x
  2. Step 2: Convert to fraction form
    1,352.15/1,865.97 = 731.15/x
  3. Step 3: Cross multiply
    1,352.15x = 1,865.97 × 731.15
  4. Step 4: Simplify right side
    1,352.15x = 1,364,304.97
  5. Step 5: Solve for x
    x = 1,364,304.97/1,352.15
  6. Step 6: Final answer
    x = 1,008.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.