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Finding the Fourth Proportional to 546.79, 819.70 and 392.33

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Solution

The fourth proportional to 546.79, 819.70 and 392.33 is: 588.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.79 : 819.70 = 392.33 : x
  2. Step 2: Convert to fraction form
    546.79/819.70 = 392.33/x
  3. Step 3: Cross multiply
    546.79x = 819.70 × 392.33
  4. Step 4: Simplify right side
    546.79x = 321,592.90
  5. Step 5: Solve for x
    x = 321,592.90/546.79
  6. Step 6: Final answer
    x = 588.15

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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.