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Finding the Fourth Proportional to 733.82, 1,099.29 and 321.98

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Solution

The fourth proportional to 733.82, 1,099.29 and 321.98 is: 482.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.82 : 1,099.29 = 321.98 : x
  2. Step 2: Convert to fraction form
    733.82/1,099.29 = 321.98/x
  3. Step 3: Cross multiply
    733.82x = 1,099.29 × 321.98
  4. Step 4: Simplify right side
    733.82x = 353,949.39
  5. Step 5: Solve for x
    x = 353,949.39/733.82
  6. Step 6: Final answer
    x = 482.34

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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.