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Finding the Fourth Proportional to 549, 819.75 and 517.71

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Solution

The fourth proportional to 549, 819.75 and 517.71 is: 773.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    549 : 819.75 = 517.71 : x
  2. Step 2: Convert to fraction form
    549/819.75 = 517.71/x
  3. Step 3: Cross multiply
    549x = 819.75 × 517.71
  4. Step 4: Simplify right side
    549x = 424,392.77
  5. Step 5: Solve for x
    x = 424,392.77/549
  6. Step 6: Final answer
    x = 773.03

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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.