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Finding the Fourth Proportional to 969.38, 1,335.76 and 908.90

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Solution

The fourth proportional to 969.38, 1,335.76 and 908.90 is: 1,252.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.38 : 1,335.76 = 908.90 : x
  2. Step 2: Convert to fraction form
    969.38/1,335.76 = 908.90/x
  3. Step 3: Cross multiply
    969.38x = 1,335.76 × 908.90
  4. Step 4: Simplify right side
    969.38x = 1,214,072.26
  5. Step 5: Solve for x
    x = 1,214,072.26/969.38
  6. Step 6: Final answer
    x = 1,252.42

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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.