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Finding the Fourth Proportional to 516.16, 711.96 and 319.47

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Solution

The fourth proportional to 516.16, 711.96 and 319.47 is: 440.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.16 : 711.96 = 319.47 : x
  2. Step 2: Convert to fraction form
    516.16/711.96 = 319.47/x
  3. Step 3: Cross multiply
    516.16x = 711.96 × 319.47
  4. Step 4: Simplify right side
    516.16x = 227,449.86
  5. Step 5: Solve for x
    x = 227,449.86/516.16
  6. Step 6: Final answer
    x = 440.66

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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.