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Finding the Fourth Proportional to 548.60, 819.23 and 431.73

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Solution

The fourth proportional to 548.60, 819.23 and 431.73 is: 644.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.60 : 819.23 = 431.73 : x
  2. Step 2: Convert to fraction form
    548.60/819.23 = 431.73/x
  3. Step 3: Cross multiply
    548.60x = 819.23 × 431.73
  4. Step 4: Simplify right side
    548.60x = 353,684.01
  5. Step 5: Solve for x
    x = 353,684.01/548.60
  6. Step 6: Final answer
    x = 644.71

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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.