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Finding the Fourth Proportional to 863.74, 1,198.07 and 832.61

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Solution

The fourth proportional to 863.74, 1,198.07 and 832.61 is: 1,154.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.74 : 1,198.07 = 832.61 : x
  2. Step 2: Convert to fraction form
    863.74/1,198.07 = 832.61/x
  3. Step 3: Cross multiply
    863.74x = 1,198.07 × 832.61
  4. Step 4: Simplify right side
    863.74x = 997,514.91
  5. Step 5: Solve for x
    x = 997,514.91/863.74
  6. Step 6: Final answer
    x = 1,154.88

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.