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Finding the Fourth Proportional to 513.31, 766.97 and 450.82

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Solution

The fourth proportional to 513.31, 766.97 and 450.82 is: 673.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.31 : 766.97 = 450.82 : x
  2. Step 2: Convert to fraction form
    513.31/766.97 = 450.82/x
  3. Step 3: Cross multiply
    513.31x = 766.97 × 450.82
  4. Step 4: Simplify right side
    513.31x = 345,765.42
  5. Step 5: Solve for x
    x = 345,765.42/513.31
  6. Step 6: Final answer
    x = 673.60

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Similar ratio
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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.