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Finding the Fourth Proportional to 733.40, 1,100.20 and 300.44

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Solution

The fourth proportional to 733.40, 1,100.20 and 300.44 is: 450.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    733.40 : 1,100.20 = 300.44 : x
  2. Step 2: Convert to fraction form
    733.40/1,100.20 = 300.44/x
  3. Step 3: Cross multiply
    733.40x = 1,100.20 × 300.44
  4. Step 4: Simplify right side
    733.40x = 330,544.09
  5. Step 5: Solve for x
    x = 330,544.09/733.40
  6. Step 6: Final answer
    x = 450.70

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1.5x scale

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.