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Finding the Fourth Proportional to 1,198.89, 1,798.39 and 418.97

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Solution

The fourth proportional to 1,198.89, 1,798.39 and 418.97 is: 628.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.89 : 1,798.39 = 418.97 : x
  2. Step 2: Convert to fraction form
    1,198.89/1,798.39 = 418.97/x
  3. Step 3: Cross multiply
    1,198.89x = 1,798.39 × 418.97
  4. Step 4: Simplify right side
    1,198.89x = 753,474.91
  5. Step 5: Solve for x
    x = 753,474.91/1,198.89
  6. Step 6: Final answer
    x = 628.48

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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.