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Finding the Fourth Proportional to 800.78, 1,201.37 and 252.96

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Solution

The fourth proportional to 800.78, 1,201.37 and 252.96 is: 379.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.78 : 1,201.37 = 252.96 : x
  2. Step 2: Convert to fraction form
    800.78/1,201.37 = 252.96/x
  3. Step 3: Cross multiply
    800.78x = 1,201.37 × 252.96
  4. Step 4: Simplify right side
    800.78x = 303,892.79
  5. Step 5: Solve for x
    x = 303,892.79/800.78
  6. Step 6: Final answer
    x = 379.50

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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.