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Finding the Fourth Proportional to 492.62, 680.14 and 327.06

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Solution

The fourth proportional to 492.62, 680.14 and 327.06 is: 451.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.62 : 680.14 = 327.06 : x
  2. Step 2: Convert to fraction form
    492.62/680.14 = 327.06/x
  3. Step 3: Cross multiply
    492.62x = 680.14 × 327.06
  4. Step 4: Simplify right side
    492.62x = 222,446.59
  5. Step 5: Solve for x
    x = 222,446.59/492.62
  6. Step 6: Final answer
    x = 451.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.