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Finding the Fourth Proportional to 2,249.67, 3,374.50 and 689.67

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Solution

The fourth proportional to 2,249.67, 3,374.50 and 689.67 is: 1,034.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249.67 : 3,374.50 = 689.67 : x
  2. Step 2: Convert to fraction form
    2,249.67/3,374.50 = 689.67/x
  3. Step 3: Cross multiply
    2,249.67x = 3,374.50 × 689.67
  4. Step 4: Simplify right side
    2,249.67x = 2,327,298.13
  5. Step 5: Solve for x
    x = 2,327,298.13/2,249.67
  6. Step 6: Final answer
    x = 1,034.51

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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.