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Finding the Fourth Proportional to 969.11, 1,336.87 and 653.95

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Solution

The fourth proportional to 969.11, 1,336.87 and 653.95 is: 902.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.11 : 1,336.87 = 653.95 : x
  2. Step 2: Convert to fraction form
    969.11/1,336.87 = 653.95/x
  3. Step 3: Cross multiply
    969.11x = 1,336.87 × 653.95
  4. Step 4: Simplify right side
    969.11x = 874,246.14
  5. Step 5: Solve for x
    x = 874,246.14/969.11
  6. Step 6: Final answer
    x = 902.11

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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.