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Finding the Fourth Proportional to 774.86, 1,162.41 and 226.97

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Solution

The fourth proportional to 774.86, 1,162.41 and 226.97 is: 340.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.86 : 1,162.41 = 226.97 : x
  2. Step 2: Convert to fraction form
    774.86/1,162.41 = 226.97/x
  3. Step 3: Cross multiply
    774.86x = 1,162.41 × 226.97
  4. Step 4: Simplify right side
    774.86x = 263,832.20
  5. Step 5: Solve for x
    x = 263,832.20/774.86
  6. Step 6: Final answer
    x = 340.49

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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.