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Finding the Fourth Proportional to 869.00, 1,198.60 and 839.43

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Solution

The fourth proportional to 869.00, 1,198.60 and 839.43 is: 1,157.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.00 : 1,198.60 = 839.43 : x
  2. Step 2: Convert to fraction form
    869.00/1,198.60 = 839.43/x
  3. Step 3: Cross multiply
    869.00x = 1,198.60 × 839.43
  4. Step 4: Simplify right side
    869.00x = 1,006,138.70
  5. Step 5: Solve for x
    x = 1,006,138.70/869.00
  6. Step 6: Final answer
    x = 1,157.82

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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.