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Finding the Fourth Proportional to 919.54, 1,268.22 and 769.60

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Solution

The fourth proportional to 919.54, 1,268.22 and 769.60 is: 1,061.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.54 : 1,268.22 = 769.60 : x
  2. Step 2: Convert to fraction form
    919.54/1,268.22 = 769.60/x
  3. Step 3: Cross multiply
    919.54x = 1,268.22 × 769.60
  4. Step 4: Simplify right side
    919.54x = 976,022.11
  5. Step 5: Solve for x
    x = 976,022.11/919.54
  6. Step 6: Final answer
    x = 1,061.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.