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Finding the Fourth Proportional to 2,249.62, 3,375.08 and 668.38

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Solution

The fourth proportional to 2,249.62, 3,375.08 and 668.38 is: 1,002.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249.62 : 3,375.08 = 668.38 : x
  2. Step 2: Convert to fraction form
    2,249.62/3,375.08 = 668.38/x
  3. Step 3: Cross multiply
    2,249.62x = 3,375.08 × 668.38
  4. Step 4: Simplify right side
    2,249.62x = 2,255,835.97
  5. Step 5: Solve for x
    x = 2,255,835.97/2,249.62
  6. Step 6: Final answer
    x = 1,002.76

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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.