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Finding the Fourth Proportional to 734.76, 1,102.17 and 301.88

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Solution

The fourth proportional to 734.76, 1,102.17 and 301.88 is: 452.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.76 : 1,102.17 = 301.88 : x
  2. Step 2: Convert to fraction form
    734.76/1,102.17 = 301.88/x
  3. Step 3: Cross multiply
    734.76x = 1,102.17 × 301.88
  4. Step 4: Simplify right side
    734.76x = 332,723.08
  5. Step 5: Solve for x
    x = 332,723.08/734.76
  6. Step 6: Final answer
    x = 452.83

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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.