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Finding the Fourth Proportional to 453.43, 676.16 and 449.52

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Solution

The fourth proportional to 453.43, 676.16 and 449.52 is: 670.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.43 : 676.16 = 449.52 : x
  2. Step 2: Convert to fraction form
    453.43/676.16 = 449.52/x
  3. Step 3: Cross multiply
    453.43x = 676.16 × 449.52
  4. Step 4: Simplify right side
    453.43x = 303,944.35
  5. Step 5: Solve for x
    x = 303,944.35/453.43
  6. Step 6: Final answer
    x = 670.33

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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.