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Finding the Fourth Proportional to 1,249.68, 1,872.42 and 882.78

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Solution

The fourth proportional to 1,249.68, 1,872.42 and 882.78 is: 1,322.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.68 : 1,872.42 = 882.78 : x
  2. Step 2: Convert to fraction form
    1,249.68/1,872.42 = 882.78/x
  3. Step 3: Cross multiply
    1,249.68x = 1,872.42 × 882.78
  4. Step 4: Simplify right side
    1,249.68x = 1,652,934.93
  5. Step 5: Solve for x
    x = 1,652,934.93/1,249.68
  6. Step 6: Final answer
    x = 1,322.69

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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.