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Finding the Fourth Proportional to 454.20, 676.71 and 447.86

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Solution

The fourth proportional to 454.20, 676.71 and 447.86 is: 667.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.20 : 676.71 = 447.86 : x
  2. Step 2: Convert to fraction form
    454.20/676.71 = 447.86/x
  3. Step 3: Cross multiply
    454.20x = 676.71 × 447.86
  4. Step 4: Simplify right side
    454.20x = 303,067.96
  5. Step 5: Solve for x
    x = 303,067.96/454.20
  6. Step 6: Final answer
    x = 667.26

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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.