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Finding the Fourth Proportional to 980.41, 1,469.05 and 880.83

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Solution

The fourth proportional to 980.41, 1,469.05 and 880.83 is: 1,319.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.41 : 1,469.05 = 880.83 : x
  2. Step 2: Convert to fraction form
    980.41/1,469.05 = 880.83/x
  3. Step 3: Cross multiply
    980.41x = 1,469.05 × 880.83
  4. Step 4: Simplify right side
    980.41x = 1,293,990.98
  5. Step 5: Solve for x
    x = 1,293,990.98/980.41
  6. Step 6: Final answer
    x = 1,319.84

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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.