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Finding the Fourth Proportional to 905.06, 1,355.96 and 660.44

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Solution

The fourth proportional to 905.06, 1,355.96 and 660.44 is: 989.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.06 : 1,355.96 = 660.44 : x
  2. Step 2: Convert to fraction form
    905.06/1,355.96 = 660.44/x
  3. Step 3: Cross multiply
    905.06x = 1,355.96 × 660.44
  4. Step 4: Simplify right side
    905.06x = 895,530.22
  5. Step 5: Solve for x
    x = 895,530.22/905.06
  6. Step 6: Final answer
    x = 989.47

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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.