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Finding the Fourth Proportional to 516.68, 712.60 and 432.34

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Solution

The fourth proportional to 516.68, 712.60 and 432.34 is: 596.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.68 : 712.60 = 432.34 : x
  2. Step 2: Convert to fraction form
    516.68/712.60 = 432.34/x
  3. Step 3: Cross multiply
    516.68x = 712.60 × 432.34
  4. Step 4: Simplify right side
    516.68x = 308,082.62
  5. Step 5: Solve for x
    x = 308,082.62/516.68
  6. Step 6: Final answer
    x = 596.28

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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.