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Finding the Fourth Proportional to 516.90, 713.67 and 393.78

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Solution

The fourth proportional to 516.90, 713.67 and 393.78 is: 543.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.90 : 713.67 = 393.78 : x
  2. Step 2: Convert to fraction form
    516.90/713.67 = 393.78/x
  3. Step 3: Cross multiply
    516.90x = 713.67 × 393.78
  4. Step 4: Simplify right side
    516.90x = 281,028.97
  5. Step 5: Solve for x
    x = 281,028.97/516.90
  6. Step 6: Final answer
    x = 543.68

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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.