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Finding the Fourth Proportional to 969.09, 1,452.09 and 506.19

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Solution

The fourth proportional to 969.09, 1,452.09 and 506.19 is: 758.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.09 : 1,452.09 = 506.19 : x
  2. Step 2: Convert to fraction form
    969.09/1,452.09 = 506.19/x
  3. Step 3: Cross multiply
    969.09x = 1,452.09 × 506.19
  4. Step 4: Simplify right side
    969.09x = 735,033.44
  5. Step 5: Solve for x
    x = 735,033.44/969.09
  6. Step 6: Final answer
    x = 758.48

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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.