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Finding the Fourth Proportional to 969.09, 1,338.72 and 772.35

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Solution

The fourth proportional to 969.09, 1,338.72 and 772.35 is: 1,066.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.09 : 1,338.72 = 772.35 : x
  2. Step 2: Convert to fraction form
    969.09/1,338.72 = 772.35/x
  3. Step 3: Cross multiply
    969.09x = 1,338.72 × 772.35
  4. Step 4: Simplify right side
    969.09x = 1,033,960.39
  5. Step 5: Solve for x
    x = 1,033,960.39/969.09
  6. Step 6: Final answer
    x = 1,066.94

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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.