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Finding the Fourth Proportional to 516.10, 712.24 and 329.56

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Solution

The fourth proportional to 516.10, 712.24 and 329.56 is: 454.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.10 : 712.24 = 329.56 : x
  2. Step 2: Convert to fraction form
    516.10/712.24 = 329.56/x
  3. Step 3: Cross multiply
    516.10x = 712.24 × 329.56
  4. Step 4: Simplify right side
    516.10x = 234,725.81
  5. Step 5: Solve for x
    x = 234,725.81/516.10
  6. Step 6: Final answer
    x = 454.81

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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.