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Finding the Fourth Proportional to 456.27, 683.24 and 301.73

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Solution

The fourth proportional to 456.27, 683.24 and 301.73 is: 451.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.27 : 683.24 = 301.73 : x
  2. Step 2: Convert to fraction form
    456.27/683.24 = 301.73/x
  3. Step 3: Cross multiply
    456.27x = 683.24 × 301.73
  4. Step 4: Simplify right side
    456.27x = 206,156.47
  5. Step 5: Solve for x
    x = 206,156.47/456.27
  6. Step 6: Final answer
    x = 451.83

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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.