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Finding the Fourth Proportional to 523.30, 722.39 and 398.97

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Solution

The fourth proportional to 523.30, 722.39 and 398.97 is: 550.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.30 : 722.39 = 398.97 : x
  2. Step 2: Convert to fraction form
    523.30/722.39 = 398.97/x
  3. Step 3: Cross multiply
    523.30x = 722.39 × 398.97
  4. Step 4: Simplify right side
    523.30x = 288,211.94
  5. Step 5: Solve for x
    x = 288,211.94/523.30
  6. Step 6: Final answer
    x = 550.76

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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.