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Finding the Fourth Proportional to 1,199.48, 1,799.24 and 333.80

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Solution

The fourth proportional to 1,199.48, 1,799.24 and 333.80 is: 500.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199.48 : 1,799.24 = 333.80 : x
  2. Step 2: Convert to fraction form
    1,199.48/1,799.24 = 333.80/x
  3. Step 3: Cross multiply
    1,199.48x = 1,799.24 × 333.80
  4. Step 4: Simplify right side
    1,199.48x = 600,586.31
  5. Step 5: Solve for x
    x = 600,586.31/1,199.48
  6. Step 6: Final answer
    x = 500.71

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Double scale
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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.