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Finding the Fourth Proportional to 408.06, 608.85 and 398.73

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Solution

The fourth proportional to 408.06, 608.85 and 398.73 is: 594.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    408.06 : 608.85 = 398.73 : x
  2. Step 2: Convert to fraction form
    408.06/608.85 = 398.73/x
  3. Step 3: Cross multiply
    408.06x = 608.85 × 398.73
  4. Step 4: Simplify right side
    408.06x = 242,766.76
  5. Step 5: Solve for x
    x = 242,766.76/408.06
  6. Step 6: Final answer
    x = 594.93

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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.