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Finding the Fourth Proportional to 452.92, 679.26 and 448

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Solution

The fourth proportional to 452.92, 679.26 and 448 is: 671.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    452.92 : 679.26 = 448 : x
  2. Step 2: Convert to fraction form
    452.92/679.26 = 448/x
  3. Step 3: Cross multiply
    452.92x = 679.26 × 448
  4. Step 4: Simplify right side
    452.92x = 304,308.48
  5. Step 5: Solve for x
    x = 304,308.48/452.92
  6. Step 6: Final answer
    x = 671.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.