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Finding the Fourth Proportional to 515.27, 773.82 and 378.59

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Solution

The fourth proportional to 515.27, 773.82 and 378.59 is: 568.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.27 : 773.82 = 378.59 : x
  2. Step 2: Convert to fraction form
    515.27/773.82 = 378.59/x
  3. Step 3: Cross multiply
    515.27x = 773.82 × 378.59
  4. Step 4: Simplify right side
    515.27x = 292,956.64
  5. Step 5: Solve for x
    x = 292,956.64/515.27
  6. Step 6: Final answer
    x = 568.56

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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.