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Finding the Fourth Proportional to 869.75, 1,198.80 and 659.86

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Solution

The fourth proportional to 869.75, 1,198.80 and 659.86 is: 909.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.75 : 1,198.80 = 659.86 : x
  2. Step 2: Convert to fraction form
    869.75/1,198.80 = 659.86/x
  3. Step 3: Cross multiply
    869.75x = 1,198.80 × 659.86
  4. Step 4: Simplify right side
    869.75x = 791,034.17
  5. Step 5: Solve for x
    x = 791,034.17/869.75
  6. Step 6: Final answer
    x = 909.50

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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.