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Finding the Fourth Proportional to 523.21, 721.82 and 326.62

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Solution

The fourth proportional to 523.21, 721.82 and 326.62 is: 450.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.21 : 721.82 = 326.62 : x
  2. Step 2: Convert to fraction form
    523.21/721.82 = 326.62/x
  3. Step 3: Cross multiply
    523.21x = 721.82 × 326.62
  4. Step 4: Simplify right side
    523.21x = 235,755.61
  5. Step 5: Solve for x
    x = 235,755.61/523.21
  6. Step 6: Final answer
    x = 450.59

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.