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Finding the Fourth Proportional to 969.06, 1,452.78 and 660.05

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Solution

The fourth proportional to 969.06, 1,452.78 and 660.05 is: 989.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.06 : 1,452.78 = 660.05 : x
  2. Step 2: Convert to fraction form
    969.06/1,452.78 = 660.05/x
  3. Step 3: Cross multiply
    969.06x = 1,452.78 × 660.05
  4. Step 4: Simplify right side
    969.06x = 958,900.18
  5. Step 5: Solve for x
    x = 958,900.18/969.06
  6. Step 6: Final answer
    x = 989.52

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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.