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Finding the Fourth Proportional to 452.62, 676.01 and 449.45

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Solution

The fourth proportional to 452.62, 676.01 and 449.45 is: 671.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.62 : 676.01 = 449.45 : x
  2. Step 2: Convert to fraction form
    452.62/676.01 = 449.45/x
  3. Step 3: Cross multiply
    452.62x = 676.01 × 449.45
  4. Step 4: Simplify right side
    452.62x = 303,832.97
  5. Step 5: Solve for x
    x = 303,832.97/452.62
  6. Step 6: Final answer
    x = 671.27

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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.