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Finding the Fourth Proportional to 1,249.39, 1,872.41 and 591.44

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Solution

The fourth proportional to 1,249.39, 1,872.41 and 591.44 is: 886.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.39 : 1,872.41 = 591.44 : x
  2. Step 2: Convert to fraction form
    1,249.39/1,872.41 = 591.44/x
  3. Step 3: Cross multiply
    1,249.39x = 1,872.41 × 591.44
  4. Step 4: Simplify right side
    1,249.39x = 1,107,405.85
  5. Step 5: Solve for x
    x = 1,107,405.85/1,249.39
  6. Step 6: Final answer
    x = 886.36

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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.