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Finding the Fourth Proportional to 1,198.62, 1,800.09 and 1,147.59

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Solution

The fourth proportional to 1,198.62, 1,800.09 and 1,147.59 is: 1,723.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.62 : 1,800.09 = 1,147.59 : x
  2. Step 2: Convert to fraction form
    1,198.62/1,800.09 = 1,147.59/x
  3. Step 3: Cross multiply
    1,198.62x = 1,800.09 × 1,147.59
  4. Step 4: Simplify right side
    1,198.62x = 2,065,765.28
  5. Step 5: Solve for x
    x = 2,065,765.28/1,198.62
  6. Step 6: Final answer
    x = 1,723.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.