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Finding the Fourth Proportional to 980.56, 1,471.11 and 873.10

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Solution

The fourth proportional to 980.56, 1,471.11 and 873.10 is: 1,309.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.56 : 1,471.11 = 873.10 : x
  2. Step 2: Convert to fraction form
    980.56/1,471.11 = 873.10/x
  3. Step 3: Cross multiply
    980.56x = 1,471.11 × 873.10
  4. Step 4: Simplify right side
    980.56x = 1,284,426.14
  5. Step 5: Solve for x
    x = 1,284,426.14/980.56
  6. Step 6: Final answer
    x = 1,309.89

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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.