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Finding the Fourth Proportional to 511.41, 766.49 and 408.27

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Solution

The fourth proportional to 511.41, 766.49 and 408.27 is: 611.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.41 : 766.49 = 408.27 : x
  2. Step 2: Convert to fraction form
    511.41/766.49 = 408.27/x
  3. Step 3: Cross multiply
    511.41x = 766.49 × 408.27
  4. Step 4: Simplify right side
    511.41x = 312,934.87
  5. Step 5: Solve for x
    x = 312,934.87/511.41
  6. Step 6: Final answer
    x = 611.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.