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Finding the Fourth Proportional to 516.14, 711.68 and 411.02

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Solution

The fourth proportional to 516.14, 711.68 and 411.02 is: 566.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.14 : 711.68 = 411.02 : x
  2. Step 2: Convert to fraction form
    516.14/711.68 = 411.02/x
  3. Step 3: Cross multiply
    516.14x = 711.68 × 411.02
  4. Step 4: Simplify right side
    516.14x = 292,514.71
  5. Step 5: Solve for x
    x = 292,514.71/516.14
  6. Step 6: Final answer
    x = 566.74

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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.