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Finding the Fourth Proportional to 496.80, 676.80 and 496.80

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Solution

The fourth proportional to 496.80, 676.80 and 496.80 is: 676.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    496.80 : 676.80 = 496.80 : x
  2. Step 2: Convert to fraction form
    496.80/676.80 = 496.80/x
  3. Step 3: Cross multiply
    496.80x = 676.80 × 496.80
  4. Step 4: Simplify right side
    496.80x = 336,234.24
  5. Step 5: Solve for x
    x = 336,234.24/496.80
  6. Step 6: Final answer
    x = 676.80

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.