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Finding the Fourth Proportional to 774.38, 1,161.18 and 226.41

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Solution

The fourth proportional to 774.38, 1,161.18 and 226.41 is: 339.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.38 : 1,161.18 = 226.41 : x
  2. Step 2: Convert to fraction form
    774.38/1,161.18 = 226.41/x
  3. Step 3: Cross multiply
    774.38x = 1,161.18 × 226.41
  4. Step 4: Simplify right side
    774.38x = 262,902.76
  5. Step 5: Solve for x
    x = 262,902.76/774.38
  6. Step 6: Final answer
    x = 339.50

Related Problems

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Half scale
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Double scale
Find fourth proportional to 775.38, 1,162.68 and 227.41
Similar ratio
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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.