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Finding the Fourth Proportional to 773.76, 1,160.81 and 225.96

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Solution

The fourth proportional to 773.76, 1,160.81 and 225.96 is: 338.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.76 : 1,160.81 = 225.96 : x
  2. Step 2: Convert to fraction form
    773.76/1,160.81 = 225.96/x
  3. Step 3: Cross multiply
    773.76x = 1,160.81 × 225.96
  4. Step 4: Simplify right side
    773.76x = 262,296.63
  5. Step 5: Solve for x
    x = 262,296.63/773.76
  6. Step 6: Final answer
    x = 338.99

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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.