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Finding the Fourth Proportional to 733.34, 1,099.34 and 270.80

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Solution

The fourth proportional to 733.34, 1,099.34 and 270.80 is: 405.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.34 : 1,099.34 = 270.80 : x
  2. Step 2: Convert to fraction form
    733.34/1,099.34 = 270.80/x
  3. Step 3: Cross multiply
    733.34x = 1,099.34 × 270.80
  4. Step 4: Simplify right side
    733.34x = 297,701.27
  5. Step 5: Solve for x
    x = 297,701.27/733.34
  6. Step 6: Final answer
    x = 405.95

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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.