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Finding the Fourth Proportional to 523.27, 721.73 and 326.89

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Solution

The fourth proportional to 523.27, 721.73 and 326.89 is: 450.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.27 : 721.73 = 326.89 : x
  2. Step 2: Convert to fraction form
    523.27/721.73 = 326.89/x
  3. Step 3: Cross multiply
    523.27x = 721.73 × 326.89
  4. Step 4: Simplify right side
    523.27x = 235,921.08
  5. Step 5: Solve for x
    x = 235,921.08/523.27
  6. Step 6: Final answer
    x = 450.86

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1.5x scale

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.