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Finding the Fourth Proportional to 969.52, 1,338.23 and 919.92

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Solution

The fourth proportional to 969.52, 1,338.23 and 919.92 is: 1,269.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.52 : 1,338.23 = 919.92 : x
  2. Step 2: Convert to fraction form
    969.52/1,338.23 = 919.92/x
  3. Step 3: Cross multiply
    969.52x = 1,338.23 × 919.92
  4. Step 4: Simplify right side
    969.52x = 1,231,066.84
  5. Step 5: Solve for x
    x = 1,231,066.84/969.52
  6. Step 6: Final answer
    x = 1,269.77

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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.