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Finding the Fourth Proportional to 800.75, 1,201.10 and 252.93

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Solution

The fourth proportional to 800.75, 1,201.10 and 252.93 is: 379.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.75 : 1,201.10 = 252.93 : x
  2. Step 2: Convert to fraction form
    800.75/1,201.10 = 252.93/x
  3. Step 3: Cross multiply
    800.75x = 1,201.10 × 252.93
  4. Step 4: Simplify right side
    800.75x = 303,794.22
  5. Step 5: Solve for x
    x = 303,794.22/800.75
  6. Step 6: Final answer
    x = 379.39

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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.