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Finding the Fourth Proportional to 513.27, 773.69 and 486.54

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Solution

The fourth proportional to 513.27, 773.69 and 486.54 is: 733.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.27 : 773.69 = 486.54 : x
  2. Step 2: Convert to fraction form
    513.27/773.69 = 486.54/x
  3. Step 3: Cross multiply
    513.27x = 773.69 × 486.54
  4. Step 4: Simplify right side
    513.27x = 376,428.70
  5. Step 5: Solve for x
    x = 376,428.70/513.27
  6. Step 6: Final answer
    x = 733.39

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.