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Finding the Fourth Proportional to 969.38, 1,459.40 and 854.48

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Solution

The fourth proportional to 969.38, 1,459.40 and 854.48 is: 1,286.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.38 : 1,459.40 = 854.48 : x
  2. Step 2: Convert to fraction form
    969.38/1,459.40 = 854.48/x
  3. Step 3: Cross multiply
    969.38x = 1,459.40 × 854.48
  4. Step 4: Simplify right side
    969.38x = 1,247,023.84
  5. Step 5: Solve for x
    x = 1,247,023.84/969.38
  6. Step 6: Final answer
    x = 1,286.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.