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Finding the Fourth Proportional to 516.10, 712.49 and 397.81

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Solution

The fourth proportional to 516.10, 712.49 and 397.81 is: 549.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.10 : 712.49 = 397.81 : x
  2. Step 2: Convert to fraction form
    516.10/712.49 = 397.81/x
  3. Step 3: Cross multiply
    516.10x = 712.49 × 397.81
  4. Step 4: Simplify right side
    516.10x = 283,434.65
  5. Step 5: Solve for x
    x = 283,434.65/516.10
  6. Step 6: Final answer
    x = 549.19

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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.