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Finding the Fourth Proportional to 548.62, 819.50 and 410.92

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Solution

The fourth proportional to 548.62, 819.50 and 410.92 is: 613.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.62 : 819.50 = 410.92 : x
  2. Step 2: Convert to fraction form
    548.62/819.50 = 410.92/x
  3. Step 3: Cross multiply
    548.62x = 819.50 × 410.92
  4. Step 4: Simplify right side
    548.62x = 336,748.94
  5. Step 5: Solve for x
    x = 336,748.94/548.62
  6. Step 6: Final answer
    x = 613.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.