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Finding the Fourth Proportional to 774.51, 1,161.56 and 226.76

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Solution

The fourth proportional to 774.51, 1,161.56 and 226.76 is: 340.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.51 : 1,161.56 = 226.76 : x
  2. Step 2: Convert to fraction form
    774.51/1,161.56 = 226.76/x
  3. Step 3: Cross multiply
    774.51x = 1,161.56 × 226.76
  4. Step 4: Simplify right side
    774.51x = 263,388.40
  5. Step 5: Solve for x
    x = 263,388.40/774.51
  6. Step 6: Final answer
    x = 340.07

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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.