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Finding the Fourth Proportional to 969.30, 1,452.24 and 847.26

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Solution

The fourth proportional to 969.30, 1,452.24 and 847.26 is: 1,269.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.30 : 1,452.24 = 847.26 : x
  2. Step 2: Convert to fraction form
    969.30/1,452.24 = 847.26/x
  3. Step 3: Cross multiply
    969.30x = 1,452.24 × 847.26
  4. Step 4: Simplify right side
    969.30x = 1,230,424.86
  5. Step 5: Solve for x
    x = 1,230,424.86/969.30
  6. Step 6: Final answer
    x = 1,269.40

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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.