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Finding the Fourth Proportional to 546.21, 819.45 and 449.82

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Solution

The fourth proportional to 546.21, 819.45 and 449.82 is: 674.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.21 : 819.45 = 449.82 : x
  2. Step 2: Convert to fraction form
    546.21/819.45 = 449.82/x
  3. Step 3: Cross multiply
    546.21x = 819.45 × 449.82
  4. Step 4: Simplify right side
    546.21x = 368,605.00
  5. Step 5: Solve for x
    x = 368,605.00/546.21
  6. Step 6: Final answer
    x = 674.84

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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.