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Finding the Fourth Proportional to 513.73, 771 and 308.53

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Solution

The fourth proportional to 513.73, 771 and 308.53 is: 463.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.73 : 771 = 308.53 : x
  2. Step 2: Convert to fraction form
    513.73/771 = 308.53/x
  3. Step 3: Cross multiply
    513.73x = 771 × 308.53
  4. Step 4: Simplify right side
    513.73x = 237,876.63
  5. Step 5: Solve for x
    x = 237,876.63/513.73
  6. Step 6: Final answer
    x = 463.04

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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.