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Finding the Fourth Proportional to 516.39, 712.62 and 319.86

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Solution

The fourth proportional to 516.39, 712.62 and 319.86 is: 441.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.39 : 712.62 = 319.86 : x
  2. Step 2: Convert to fraction form
    516.39/712.62 = 319.86/x
  3. Step 3: Cross multiply
    516.39x = 712.62 × 319.86
  4. Step 4: Simplify right side
    516.39x = 227,938.63
  5. Step 5: Solve for x
    x = 227,938.63/516.39
  6. Step 6: Final answer
    x = 441.41

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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.