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Finding the Fourth Proportional to 546.28, 819.63 and 327.06

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Solution

The fourth proportional to 546.28, 819.63 and 327.06 is: 490.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.28 : 819.63 = 327.06 : x
  2. Step 2: Convert to fraction form
    546.28/819.63 = 327.06/x
  3. Step 3: Cross multiply
    546.28x = 819.63 × 327.06
  4. Step 4: Simplify right side
    546.28x = 268,071.54
  5. Step 5: Solve for x
    x = 268,071.54/546.28
  6. Step 6: Final answer
    x = 490.72

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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.