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Finding the Fourth Proportional to 548.19, 820.39 and 449.55

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Solution

The fourth proportional to 548.19, 820.39 and 449.55 is: 672.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    548.19 : 820.39 = 449.55 : x
  2. Step 2: Convert to fraction form
    548.19/820.39 = 449.55/x
  3. Step 3: Cross multiply
    548.19x = 820.39 × 449.55
  4. Step 4: Simplify right side
    548.19x = 368,806.32
  5. Step 5: Solve for x
    x = 368,806.32/548.19
  6. Step 6: Final answer
    x = 672.77

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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.