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Finding the Fourth Proportional to 748.34, 1,121.10 and 422.72

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Solution

The fourth proportional to 748.34, 1,121.10 and 422.72 is: 633.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.34 : 1,121.10 = 422.72 : x
  2. Step 2: Convert to fraction form
    748.34/1,121.10 = 422.72/x
  3. Step 3: Cross multiply
    748.34x = 1,121.10 × 422.72
  4. Step 4: Simplify right side
    748.34x = 473,911.39
  5. Step 5: Solve for x
    x = 473,911.39/748.34
  6. Step 6: Final answer
    x = 633.28

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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.