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Finding the Fourth Proportional to 969.45, 1,329.12 and 951.92

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Solution

The fourth proportional to 969.45, 1,329.12 and 951.92 is: 1,305.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.45 : 1,329.12 = 951.92 : x
  2. Step 2: Convert to fraction form
    969.45/1,329.12 = 951.92/x
  3. Step 3: Cross multiply
    969.45x = 1,329.12 × 951.92
  4. Step 4: Simplify right side
    969.45x = 1,265,215.91
  5. Step 5: Solve for x
    x = 1,265,215.91/969.45
  6. Step 6: Final answer
    x = 1,305.09

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.