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Finding the Fourth Proportional to 1,198.20, 1,794.69 and 580.61

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Solution

The fourth proportional to 1,198.20, 1,794.69 and 580.61 is: 869.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.20 : 1,794.69 = 580.61 : x
  2. Step 2: Convert to fraction form
    1,198.20/1,794.69 = 580.61/x
  3. Step 3: Cross multiply
    1,198.20x = 1,794.69 × 580.61
  4. Step 4: Simplify right side
    1,198.20x = 1,042,005.99
  5. Step 5: Solve for x
    x = 1,042,005.99/1,198.20
  6. Step 6: Final answer
    x = 869.64

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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.