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Finding the Fourth Proportional to 508.27, 761.34 and 324.73

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Solution

The fourth proportional to 508.27, 761.34 and 324.73 is: 486.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.27 : 761.34 = 324.73 : x
  2. Step 2: Convert to fraction form
    508.27/761.34 = 324.73/x
  3. Step 3: Cross multiply
    508.27x = 761.34 × 324.73
  4. Step 4: Simplify right side
    508.27x = 247,229.94
  5. Step 5: Solve for x
    x = 247,229.94/508.27
  6. Step 6: Final answer
    x = 486.41

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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.