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Finding the Fourth Proportional to 969.74, 1,338.91 and 907.78

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Solution

The fourth proportional to 969.74, 1,338.91 and 907.78 is: 1,253.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.74 : 1,338.91 = 907.78 : x
  2. Step 2: Convert to fraction form
    969.74/1,338.91 = 907.78/x
  3. Step 3: Cross multiply
    969.74x = 1,338.91 × 907.78
  4. Step 4: Simplify right side
    969.74x = 1,215,433.95
  5. Step 5: Solve for x
    x = 1,215,433.95/969.74
  6. Step 6: Final answer
    x = 1,253.36

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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.