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Finding the Fourth Proportional to 997.67, 1,495.92 and 381.42

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Solution

The fourth proportional to 997.67, 1,495.92 and 381.42 is: 571.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    997.67 : 1,495.92 = 381.42 : x
  2. Step 2: Convert to fraction form
    997.67/1,495.92 = 381.42/x
  3. Step 3: Cross multiply
    997.67x = 1,495.92 × 381.42
  4. Step 4: Simplify right side
    997.67x = 570,566.33
  5. Step 5: Solve for x
    x = 570,566.33/997.67
  6. Step 6: Final answer
    x = 571.90

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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.