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Finding the Fourth Proportional to 1,149.72, 1,724.16 and 759.48

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Solution

The fourth proportional to 1,149.72, 1,724.16 and 759.48 is: 1,138.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.72 : 1,724.16 = 759.48 : x
  2. Step 2: Convert to fraction form
    1,149.72/1,724.16 = 759.48/x
  3. Step 3: Cross multiply
    1,149.72x = 1,724.16 × 759.48
  4. Step 4: Simplify right side
    1,149.72x = 1,309,465.04
  5. Step 5: Solve for x
    x = 1,309,465.04/1,149.72
  6. Step 6: Final answer
    x = 1,138.94

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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.