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Finding the Fourth Proportional to 733.13, 1,099.44 and 212.99

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Solution

The fourth proportional to 733.13, 1,099.44 and 212.99 is: 319.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.13 : 1,099.44 = 212.99 : x
  2. Step 2: Convert to fraction form
    733.13/1,099.44 = 212.99/x
  3. Step 3: Cross multiply
    733.13x = 1,099.44 × 212.99
  4. Step 4: Simplify right side
    733.13x = 234,169.73
  5. Step 5: Solve for x
    x = 234,169.73/733.13
  6. Step 6: Final answer
    x = 319.41

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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.