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Finding the Fourth Proportional to 919.74, 1,267.41 and 908.23

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Solution

The fourth proportional to 919.74, 1,267.41 and 908.23 is: 1,251.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    919.74 : 1,267.41 = 908.23 : x
  2. Step 2: Convert to fraction form
    919.74/1,267.41 = 908.23/x
  3. Step 3: Cross multiply
    919.74x = 1,267.41 × 908.23
  4. Step 4: Simplify right side
    919.74x = 1,151,099.78
  5. Step 5: Solve for x
    x = 1,151,099.78/919.74
  6. Step 6: Final answer
    x = 1,251.55

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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.