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Finding the Fourth Proportional to 734.70, 1,102.25 and 301.75

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Solution

The fourth proportional to 734.70, 1,102.25 and 301.75 is: 452.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.70 : 1,102.25 = 301.75 : x
  2. Step 2: Convert to fraction form
    734.70/1,102.25 = 301.75/x
  3. Step 3: Cross multiply
    734.70x = 1,102.25 × 301.75
  4. Step 4: Simplify right side
    734.70x = 332,603.94
  5. Step 5: Solve for x
    x = 332,603.94/734.70
  6. Step 6: Final answer
    x = 452.71

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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.