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Finding the Fourth Proportional to 2,250.66, 3,375.97 and 769.87

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Solution

The fourth proportional to 2,250.66, 3,375.97 and 769.87 is: 1,154.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,250.66 : 3,375.97 = 769.87 : x
  2. Step 2: Convert to fraction form
    2,250.66/3,375.97 = 769.87/x
  3. Step 3: Cross multiply
    2,250.66x = 3,375.97 × 769.87
  4. Step 4: Simplify right side
    2,250.66x = 2,599,056.10
  5. Step 5: Solve for x
    x = 2,599,056.10/2,250.66
  6. Step 6: Final answer
    x = 1,154.80

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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.