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Finding the Fourth Proportional to 1,732.52, 2,599.56 and 758.90

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Solution

The fourth proportional to 1,732.52, 2,599.56 and 758.90 is: 1,138.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,732.52 : 2,599.56 = 758.90 : x
  2. Step 2: Convert to fraction form
    1,732.52/2,599.56 = 758.90/x
  3. Step 3: Cross multiply
    1,732.52x = 2,599.56 × 758.90
  4. Step 4: Simplify right side
    1,732.52x = 1,972,806.08
  5. Step 5: Solve for x
    x = 1,972,806.08/1,732.52
  6. Step 6: Final answer
    x = 1,138.69

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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.