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Finding the Fourth Proportional to 969.76, 1,338.24 and 708.88

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Solution

The fourth proportional to 969.76, 1,338.24 and 708.88 is: 978.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.76 : 1,338.24 = 708.88 : x
  2. Step 2: Convert to fraction form
    969.76/1,338.24 = 708.88/x
  3. Step 3: Cross multiply
    969.76x = 1,338.24 × 708.88
  4. Step 4: Simplify right side
    969.76x = 948,651.57
  5. Step 5: Solve for x
    x = 948,651.57/969.76
  6. Step 6: Final answer
    x = 978.23

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1.5x scale

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.