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Finding the Fourth Proportional to 869.04, 1,198.17 and 659.43

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Solution

The fourth proportional to 869.04, 1,198.17 and 659.43 is: 909.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.04 : 1,198.17 = 659.43 : x
  2. Step 2: Convert to fraction form
    869.04/1,198.17 = 659.43/x
  3. Step 3: Cross multiply
    869.04x = 1,198.17 × 659.43
  4. Step 4: Simplify right side
    869.04x = 790,109.24
  5. Step 5: Solve for x
    x = 790,109.24/869.04
  6. Step 6: Final answer
    x = 909.17

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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.