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Finding the Fourth Proportional to 1,198.80, 1,790.18 and 1,036.88

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Solution

The fourth proportional to 1,198.80, 1,790.18 and 1,036.88 is: 1,548.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.80 : 1,790.18 = 1,036.88 : x
  2. Step 2: Convert to fraction form
    1,198.80/1,790.18 = 1,036.88/x
  3. Step 3: Cross multiply
    1,198.80x = 1,790.18 × 1,036.88
  4. Step 4: Simplify right side
    1,198.80x = 1,856,201.84
  5. Step 5: Solve for x
    x = 1,856,201.84/1,198.80
  6. Step 6: Final answer
    x = 1,548.38

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.