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Finding the Fourth Proportional to 674.86, 1,012.11 and 241.96

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Solution

The fourth proportional to 674.86, 1,012.11 and 241.96 is: 362.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    674.86 : 1,012.11 = 241.96 : x
  2. Step 2: Convert to fraction form
    674.86/1,012.11 = 241.96/x
  3. Step 3: Cross multiply
    674.86x = 1,012.11 × 241.96
  4. Step 4: Simplify right side
    674.86x = 244,890.14
  5. Step 5: Solve for x
    x = 244,890.14/674.86
  6. Step 6: Final answer
    x = 362.88

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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.