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Finding the Fourth Proportional to 546.54, 819.40 and 330.07

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Solution

The fourth proportional to 546.54, 819.40 and 330.07 is: 494.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.54 : 819.40 = 330.07 : x
  2. Step 2: Convert to fraction form
    546.54/819.40 = 330.07/x
  3. Step 3: Cross multiply
    546.54x = 819.40 × 330.07
  4. Step 4: Simplify right side
    546.54x = 270,459.36
  5. Step 5: Solve for x
    x = 270,459.36/546.54
  6. Step 6: Final answer
    x = 494.86

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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.