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Finding the Fourth Proportional to 511.56, 768.60 and 496.44

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Solution

The fourth proportional to 511.56, 768.60 and 496.44 is: 745.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.56 : 768.60 = 496.44 : x
  2. Step 2: Convert to fraction form
    511.56/768.60 = 496.44/x
  3. Step 3: Cross multiply
    511.56x = 768.60 × 496.44
  4. Step 4: Simplify right side
    511.56x = 381,563.78
  5. Step 5: Solve for x
    x = 381,563.78/511.56
  6. Step 6: Final answer
    x = 745.88

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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.