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Finding the Fourth Proportional to 798.41, 1,198.14 and 408.85

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Solution

The fourth proportional to 798.41, 1,198.14 and 408.85 is: 613.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.41 : 1,198.14 = 408.85 : x
  2. Step 2: Convert to fraction form
    798.41/1,198.14 = 408.85/x
  3. Step 3: Cross multiply
    798.41x = 1,198.14 × 408.85
  4. Step 4: Simplify right side
    798.41x = 489,857.31
  5. Step 5: Solve for x
    x = 489,857.31/798.41
  6. Step 6: Final answer
    x = 613.54

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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.