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Finding the Fourth Proportional to 1,375.31, 2,062.99 and 758.90

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Solution

The fourth proportional to 1,375.31, 2,062.99 and 758.90 is: 1,138.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,375.31 : 2,062.99 = 758.90 : x
  2. Step 2: Convert to fraction form
    1,375.31/2,062.99 = 758.90/x
  3. Step 3: Cross multiply
    1,375.31x = 2,062.99 × 758.90
  4. Step 4: Simplify right side
    1,375.31x = 1,565,603.11
  5. Step 5: Solve for x
    x = 1,565,603.11/1,375.31
  6. Step 6: Final answer
    x = 1,138.36

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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.