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Finding the Fourth Proportional to 523.06, 721.71 and 326.63

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Solution

The fourth proportional to 523.06, 721.71 and 326.63 is: 450.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.06 : 721.71 = 326.63 : x
  2. Step 2: Convert to fraction form
    523.06/721.71 = 326.63/x
  3. Step 3: Cross multiply
    523.06x = 721.71 × 326.63
  4. Step 4: Simplify right side
    523.06x = 235,733.94
  5. Step 5: Solve for x
    x = 235,733.94/523.06
  6. Step 6: Final answer
    x = 450.68

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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.