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Finding the Fourth Proportional to 414.55, 620.60 and 327.27

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Solution

The fourth proportional to 414.55, 620.60 and 327.27 is: 489.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.55 : 620.60 = 327.27 : x
  2. Step 2: Convert to fraction form
    414.55/620.60 = 327.27/x
  3. Step 3: Cross multiply
    414.55x = 620.60 × 327.27
  4. Step 4: Simplify right side
    414.55x = 203,104.58
  5. Step 5: Solve for x
    x = 203,104.58/414.55
  6. Step 6: Final answer
    x = 489.94

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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.