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Finding the Fourth Proportional to 834.35, 1,249.37 and 672.35

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Solution

The fourth proportional to 834.35, 1,249.37 and 672.35 is: 1,006.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.35 : 1,249.37 = 672.35 : x
  2. Step 2: Convert to fraction form
    834.35/1,249.37 = 672.35/x
  3. Step 3: Cross multiply
    834.35x = 1,249.37 × 672.35
  4. Step 4: Simplify right side
    834.35x = 840,010.56
  5. Step 5: Solve for x
    x = 840,010.56/834.35
  6. Step 6: Final answer
    x = 1,006.78

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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.