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Finding the Fourth Proportional to 409.23, 612.57 and 327.15

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Solution

The fourth proportional to 409.23, 612.57 and 327.15 is: 489.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.23 : 612.57 = 327.15 : x
  2. Step 2: Convert to fraction form
    409.23/612.57 = 327.15/x
  3. Step 3: Cross multiply
    409.23x = 612.57 × 327.15
  4. Step 4: Simplify right side
    409.23x = 200,402.28
  5. Step 5: Solve for x
    x = 200,402.28/409.23
  6. Step 6: Final answer
    x = 489.71

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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.