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Finding the Fourth Proportional to 800.77, 1,200.72 and 252.80

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Solution

The fourth proportional to 800.77, 1,200.72 and 252.80 is: 379.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.77 : 1,200.72 = 252.80 : x
  2. Step 2: Convert to fraction form
    800.77/1,200.72 = 252.80/x
  3. Step 3: Cross multiply
    800.77x = 1,200.72 × 252.80
  4. Step 4: Simplify right side
    800.77x = 303,542.02
  5. Step 5: Solve for x
    x = 303,542.02/800.77
  6. Step 6: Final answer
    x = 379.06

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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.