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Finding the Fourth Proportional to 969.33, 1,452.11 and 774.74

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Solution

The fourth proportional to 969.33, 1,452.11 and 774.74 is: 1,160.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.33 : 1,452.11 = 774.74 : x
  2. Step 2: Convert to fraction form
    969.33/1,452.11 = 774.74/x
  3. Step 3: Cross multiply
    969.33x = 1,452.11 × 774.74
  4. Step 4: Simplify right side
    969.33x = 1,124,996.57
  5. Step 5: Solve for x
    x = 1,124,996.57/969.33
  6. Step 6: Final answer
    x = 1,160.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.