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Finding the Fourth Proportional to 518.96, 781.22 and 398.72

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Solution

The fourth proportional to 518.96, 781.22 and 398.72 is: 600.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.96 : 781.22 = 398.72 : x
  2. Step 2: Convert to fraction form
    518.96/781.22 = 398.72/x
  3. Step 3: Cross multiply
    518.96x = 781.22 × 398.72
  4. Step 4: Simplify right side
    518.96x = 311,488.04
  5. Step 5: Solve for x
    x = 311,488.04/518.96
  6. Step 6: Final answer
    x = 600.22

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.