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Finding the Fourth Proportional to 749.22, 1,121.55 and 488.67

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Solution

The fourth proportional to 749.22, 1,121.55 and 488.67 is: 731.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.22 : 1,121.55 = 488.67 : x
  2. Step 2: Convert to fraction form
    749.22/1,121.55 = 488.67/x
  3. Step 3: Cross multiply
    749.22x = 1,121.55 × 488.67
  4. Step 4: Simplify right side
    749.22x = 548,067.84
  5. Step 5: Solve for x
    x = 548,067.84/749.22
  6. Step 6: Final answer
    x = 731.52

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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.