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Finding the Fourth Proportional to 748.02, 1,121.22 and 488.22

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Solution

The fourth proportional to 748.02, 1,121.22 and 488.22 is: 731.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    748.02 : 1,121.22 = 488.22 : x
  2. Step 2: Convert to fraction form
    748.02/1,121.22 = 488.22/x
  3. Step 3: Cross multiply
    748.02x = 1,121.22 × 488.22
  4. Step 4: Simplify right side
    748.02x = 547,402.03
  5. Step 5: Solve for x
    x = 547,402.03/748.02
  6. Step 6: Final answer
    x = 731.80

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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.