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Finding the Fourth Proportional to 834.52, 1,249.74 and 487.09

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Solution

The fourth proportional to 834.52, 1,249.74 and 487.09 is: 729.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.52 : 1,249.74 = 487.09 : x
  2. Step 2: Convert to fraction form
    834.52/1,249.74 = 487.09/x
  3. Step 3: Cross multiply
    834.52x = 1,249.74 × 487.09
  4. Step 4: Simplify right side
    834.52x = 608,735.86
  5. Step 5: Solve for x
    x = 608,735.86/834.52
  6. Step 6: Final answer
    x = 729.44

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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.