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Finding the Fourth Proportional to 1,198.80, 1,785.12 and 1,168.08

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Solution

The fourth proportional to 1,198.80, 1,785.12 and 1,168.08 is: 1,739.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.80 : 1,785.12 = 1,168.08 : x
  2. Step 2: Convert to fraction form
    1,198.80/1,785.12 = 1,168.08/x
  3. Step 3: Cross multiply
    1,198.80x = 1,785.12 × 1,168.08
  4. Step 4: Simplify right side
    1,198.80x = 2,085,162.97
  5. Step 5: Solve for x
    x = 2,085,162.97/1,198.80
  6. Step 6: Final answer
    x = 1,739.38

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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.