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Finding the Fourth Proportional to 2,250.45, 3,374.82 and 689.97

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Solution

The fourth proportional to 2,250.45, 3,374.82 and 689.97 is: 1,034.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,250.45 : 3,374.82 = 689.97 : x
  2. Step 2: Convert to fraction form
    2,250.45/3,374.82 = 689.97/x
  3. Step 3: Cross multiply
    2,250.45x = 3,374.82 × 689.97
  4. Step 4: Simplify right side
    2,250.45x = 2,328,524.56
  5. Step 5: Solve for x
    x = 2,328,524.56/2,250.45
  6. Step 6: Final answer
    x = 1,034.69

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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.