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Finding the Fourth Proportional to 513.97, 771.17 and 270.65

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Solution

The fourth proportional to 513.97, 771.17 and 270.65 is: 406.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.97 : 771.17 = 270.65 : x
  2. Step 2: Convert to fraction form
    513.97/771.17 = 270.65/x
  3. Step 3: Cross multiply
    513.97x = 771.17 × 270.65
  4. Step 4: Simplify right side
    513.97x = 208,717.16
  5. Step 5: Solve for x
    x = 208,717.16/513.97
  6. Step 6: Final answer
    x = 406.09

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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.