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Finding the Fourth Proportional to 516.23, 711.58 and 391.38

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Solution

The fourth proportional to 516.23, 711.58 and 391.38 is: 539.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.23 : 711.58 = 391.38 : x
  2. Step 2: Convert to fraction form
    516.23/711.58 = 391.38/x
  3. Step 3: Cross multiply
    516.23x = 711.58 × 391.38
  4. Step 4: Simplify right side
    516.23x = 278,498.18
  5. Step 5: Solve for x
    x = 278,498.18/516.23
  6. Step 6: Final answer
    x = 539.48

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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.