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Finding the Fourth Proportional to 969.90, 1,452.67 and 752.82

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Solution

The fourth proportional to 969.90, 1,452.67 and 752.82 is: 1,127.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.90 : 1,452.67 = 752.82 : x
  2. Step 2: Convert to fraction form
    969.90/1,452.67 = 752.82/x
  3. Step 3: Cross multiply
    969.90x = 1,452.67 × 752.82
  4. Step 4: Simplify right side
    969.90x = 1,093,599.03
  5. Step 5: Solve for x
    x = 1,093,599.03/969.90
  6. Step 6: Final answer
    x = 1,127.54

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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.