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Finding the Fourth Proportional to 515.82, 773.87 and 255.81

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Solution

The fourth proportional to 515.82, 773.87 and 255.81 is: 383.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.82 : 773.87 = 255.81 : x
  2. Step 2: Convert to fraction form
    515.82/773.87 = 255.81/x
  3. Step 3: Cross multiply
    515.82x = 773.87 × 255.81
  4. Step 4: Simplify right side
    515.82x = 197,963.68
  5. Step 5: Solve for x
    x = 197,963.68/515.82
  6. Step 6: Final answer
    x = 383.78

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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.