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Finding the Fourth Proportional to 516.14, 713.09 and 392.22

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Solution

The fourth proportional to 516.14, 713.09 and 392.22 is: 541.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.14 : 713.09 = 392.22 : x
  2. Step 2: Convert to fraction form
    516.14/713.09 = 392.22/x
  3. Step 3: Cross multiply
    516.14x = 713.09 × 392.22
  4. Step 4: Simplify right side
    516.14x = 279,688.16
  5. Step 5: Solve for x
    x = 279,688.16/516.14
  6. Step 6: Final answer
    x = 541.88

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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.