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Finding the Fourth Proportional to 516.33, 713.15 and 376.22

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Solution

The fourth proportional to 516.33, 713.15 and 376.22 is: 519.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.33 : 713.15 = 376.22 : x
  2. Step 2: Convert to fraction form
    516.33/713.15 = 376.22/x
  3. Step 3: Cross multiply
    516.33x = 713.15 × 376.22
  4. Step 4: Simplify right side
    516.33x = 268,295.85
  5. Step 5: Solve for x
    x = 268,295.85/516.33
  6. Step 6: Final answer
    x = 519.62

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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.