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Finding the Fourth Proportional to 748.62, 1,121.85 and 423.29

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Solution

The fourth proportional to 748.62, 1,121.85 and 423.29 is: 634.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.62 : 1,121.85 = 423.29 : x
  2. Step 2: Convert to fraction form
    748.62/1,121.85 = 423.29/x
  3. Step 3: Cross multiply
    748.62x = 1,121.85 × 423.29
  4. Step 4: Simplify right side
    748.62x = 474,870.69
  5. Step 5: Solve for x
    x = 474,870.69/748.62
  6. Step 6: Final answer
    x = 634.33

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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.