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Finding the Fourth Proportional to 969.72, 1,336.95 and 872.52

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Solution

The fourth proportional to 969.72, 1,336.95 and 872.52 is: 1,202.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.72 : 1,336.95 = 872.52 : x
  2. Step 2: Convert to fraction form
    969.72/1,336.95 = 872.52/x
  3. Step 3: Cross multiply
    969.72x = 1,336.95 × 872.52
  4. Step 4: Simplify right side
    969.72x = 1,166,515.61
  5. Step 5: Solve for x
    x = 1,166,515.61/969.72
  6. Step 6: Final answer
    x = 1,202.94

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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.