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Finding the Fourth Proportional to 516.24, 712.49 and 398.39

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Solution

The fourth proportional to 516.24, 712.49 and 398.39 is: 549.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.24 : 712.49 = 398.39 : x
  2. Step 2: Convert to fraction form
    516.24/712.49 = 398.39/x
  3. Step 3: Cross multiply
    516.24x = 712.49 × 398.39
  4. Step 4: Simplify right side
    516.24x = 283,843.34
  5. Step 5: Solve for x
    x = 283,843.34/516.24
  6. Step 6: Final answer
    x = 549.83

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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.