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Finding the Fourth Proportional to 869.23, 1,198.44 and 635.95

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Solution

The fourth proportional to 869.23, 1,198.44 and 635.95 is: 876.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.23 : 1,198.44 = 635.95 : x
  2. Step 2: Convert to fraction form
    869.23/1,198.44 = 635.95/x
  3. Step 3: Cross multiply
    869.23x = 1,198.44 × 635.95
  4. Step 4: Simplify right side
    869.23x = 762,147.92
  5. Step 5: Solve for x
    x = 762,147.92/869.23
  6. Step 6: Final answer
    x = 876.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.