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Finding the Fourth Proportional to 546.39, 819.84 and 408.81

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Solution

The fourth proportional to 546.39, 819.84 and 408.81 is: 613.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.39 : 819.84 = 408.81 : x
  2. Step 2: Convert to fraction form
    546.39/819.84 = 408.81/x
  3. Step 3: Cross multiply
    546.39x = 819.84 × 408.81
  4. Step 4: Simplify right side
    546.39x = 335,158.79
  5. Step 5: Solve for x
    x = 335,158.79/546.39
  6. Step 6: Final answer
    x = 613.41

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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.