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Finding the Fourth Proportional to 516.33, 711.78 and 411.46

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Solution

The fourth proportional to 516.33, 711.78 and 411.46 is: 567.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.33 : 711.78 = 411.46 : x
  2. Step 2: Convert to fraction form
    516.33/711.78 = 411.46/x
  3. Step 3: Cross multiply
    516.33x = 711.78 × 411.46
  4. Step 4: Simplify right side
    516.33x = 292,869.00
  5. Step 5: Solve for x
    x = 292,869.00/516.33
  6. Step 6: Final answer
    x = 567.21

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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.