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Finding the Fourth Proportional to 2,238.57, 3,358.39 and 757.76

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Solution

The fourth proportional to 2,238.57, 3,358.39 and 757.76 is: 1,136.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238.57 : 3,358.39 = 757.76 : x
  2. Step 2: Convert to fraction form
    2,238.57/3,358.39 = 757.76/x
  3. Step 3: Cross multiply
    2,238.57x = 3,358.39 × 757.76
  4. Step 4: Simplify right side
    2,238.57x = 2,544,862.55
  5. Step 5: Solve for x
    x = 2,544,862.55/2,238.57
  6. Step 6: Final answer
    x = 1,136.83

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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.