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Finding the Fourth Proportional to 516.28, 711.18 and 385.06

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Solution

The fourth proportional to 516.28, 711.18 and 385.06 is: 530.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.28 : 711.18 = 385.06 : x
  2. Step 2: Convert to fraction form
    516.28/711.18 = 385.06/x
  3. Step 3: Cross multiply
    516.28x = 711.18 × 385.06
  4. Step 4: Simplify right side
    516.28x = 273,846.97
  5. Step 5: Solve for x
    x = 273,846.97/516.28
  6. Step 6: Final answer
    x = 530.42

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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.