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Finding the Fourth Proportional to 1,198.36, 1,654.31 and 800.69

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Solution

The fourth proportional to 1,198.36, 1,654.31 and 800.69 is: 1,105.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.36 : 1,654.31 = 800.69 : x
  2. Step 2: Convert to fraction form
    1,198.36/1,654.31 = 800.69/x
  3. Step 3: Cross multiply
    1,198.36x = 1,654.31 × 800.69
  4. Step 4: Simplify right side
    1,198.36x = 1,324,589.47
  5. Step 5: Solve for x
    x = 1,324,589.47/1,198.36
  6. Step 6: Final answer
    x = 1,105.34

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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.