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Finding the Fourth Proportional to 454.32, 676.44 and 449.46

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Solution

The fourth proportional to 454.32, 676.44 and 449.46 is: 669.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.32 : 676.44 = 449.46 : x
  2. Step 2: Convert to fraction form
    454.32/676.44 = 449.46/x
  3. Step 3: Cross multiply
    454.32x = 676.44 × 449.46
  4. Step 4: Simplify right side
    454.32x = 304,032.72
  5. Step 5: Solve for x
    x = 304,032.72/454.32
  6. Step 6: Final answer
    x = 669.20

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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.