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Finding the Fourth Proportional to 980, 1,353.12 and 668.96

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Solution

The fourth proportional to 980, 1,353.12 and 668.96 is: 923.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    980 : 1,353.12 = 668.96 : x
  2. Step 2: Convert to fraction form
    980/1,353.12 = 668.96/x
  3. Step 3: Cross multiply
    980x = 1,353.12 × 668.96
  4. Step 4: Simplify right side
    980x = 905,183.16
  5. Step 5: Solve for x
    x = 905,183.16/980
  6. Step 6: Final answer
    x = 923.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.