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Finding the Fourth Proportional to 774.22, 1,160.97 and 226.27

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Solution

The fourth proportional to 774.22, 1,160.97 and 226.27 is: 339.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.22 : 1,160.97 = 226.27 : x
  2. Step 2: Convert to fraction form
    774.22/1,160.97 = 226.27/x
  3. Step 3: Cross multiply
    774.22x = 1,160.97 × 226.27
  4. Step 4: Simplify right side
    774.22x = 262,692.68
  5. Step 5: Solve for x
    x = 262,692.68/774.22
  6. Step 6: Final answer
    x = 339.30

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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.