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Finding the Fourth Proportional to 969.81, 1,338.26 and 571.49

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Solution

The fourth proportional to 969.81, 1,338.26 and 571.49 is: 788.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.81 : 1,338.26 = 571.49 : x
  2. Step 2: Convert to fraction form
    969.81/1,338.26 = 571.49/x
  3. Step 3: Cross multiply
    969.81x = 1,338.26 × 571.49
  4. Step 4: Simplify right side
    969.81x = 764,797.68
  5. Step 5: Solve for x
    x = 764,797.68/969.81
  6. Step 6: Final answer
    x = 788.61

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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.