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Finding the Fourth Proportional to 1,198.82, 1,797.89 and 418.79

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Solution

The fourth proportional to 1,198.82, 1,797.89 and 418.79 is: 628.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.82 : 1,797.89 = 418.79 : x
  2. Step 2: Convert to fraction form
    1,198.82/1,797.89 = 418.79/x
  3. Step 3: Cross multiply
    1,198.82x = 1,797.89 × 418.79
  4. Step 4: Simplify right side
    1,198.82x = 752,927.27
  5. Step 5: Solve for x
    x = 752,927.27/1,198.82
  6. Step 6: Final answer
    x = 628.06

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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.