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Finding the Fourth Proportional to 546.79, 819.62 and 398.19

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Solution

The fourth proportional to 546.79, 819.62 and 398.19 is: 596.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.79 : 819.62 = 398.19 : x
  2. Step 2: Convert to fraction form
    546.79/819.62 = 398.19/x
  3. Step 3: Cross multiply
    546.79x = 819.62 × 398.19
  4. Step 4: Simplify right side
    546.79x = 326,358.40
  5. Step 5: Solve for x
    x = 326,358.40/546.79
  6. Step 6: Final answer
    x = 596.86

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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.