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Finding the Fourth Proportional to 453.82, 676.27 and 439.12

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Solution

The fourth proportional to 453.82, 676.27 and 439.12 is: 654.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.82 : 676.27 = 439.12 : x
  2. Step 2: Convert to fraction form
    453.82/676.27 = 439.12/x
  3. Step 3: Cross multiply
    453.82x = 676.27 × 439.12
  4. Step 4: Simplify right side
    453.82x = 296,963.68
  5. Step 5: Solve for x
    x = 296,963.68/453.82
  6. Step 6: Final answer
    x = 654.36

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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.