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Finding the Fourth Proportional to 2,249.67, 3,374.13 and 689.31

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Solution

The fourth proportional to 2,249.67, 3,374.13 and 689.31 is: 1,033.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,249.67 : 3,374.13 = 689.31 : x
  2. Step 2: Convert to fraction form
    2,249.67/3,374.13 = 689.31/x
  3. Step 3: Cross multiply
    2,249.67x = 3,374.13 × 689.31
  4. Step 4: Simplify right side
    2,249.67x = 2,325,821.55
  5. Step 5: Solve for x
    x = 2,325,821.55/2,249.67
  6. Step 6: Final answer
    x = 1,033.85

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1.5x scale

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.