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Finding the Fourth Proportional to 969.46, 1,454.17 and 660.54

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Solution

The fourth proportional to 969.46, 1,454.17 and 660.54 is: 990.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    969.46 : 1,454.17 = 660.54 : x
  2. Step 2: Convert to fraction form
    969.46/1,454.17 = 660.54/x
  3. Step 3: Cross multiply
    969.46x = 1,454.17 × 660.54
  4. Step 4: Simplify right side
    969.46x = 960,537.45
  5. Step 5: Solve for x
    x = 960,537.45/969.46
  6. Step 6: Final answer
    x = 990.80

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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.