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Finding the Fourth Proportional to 1,282.20, 1,921.52 and 733.22

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Solution

The fourth proportional to 1,282.20, 1,921.52 and 733.22 is: 1,098.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,282.20 : 1,921.52 = 733.22 : x
  2. Step 2: Convert to fraction form
    1,282.20/1,921.52 = 733.22/x
  3. Step 3: Cross multiply
    1,282.20x = 1,921.52 × 733.22
  4. Step 4: Simplify right side
    1,282.20x = 1,408,896.89
  5. Step 5: Solve for x
    x = 1,408,896.89/1,282.20
  6. Step 6: Final answer
    x = 1,098.81

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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.