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Finding the Fourth Proportional to 980.59, 1,471.12 and 331.33

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Solution

The fourth proportional to 980.59, 1,471.12 and 331.33 is: 497.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.59 : 1,471.12 = 331.33 : x
  2. Step 2: Convert to fraction form
    980.59/1,471.12 = 331.33/x
  3. Step 3: Cross multiply
    980.59x = 1,471.12 × 331.33
  4. Step 4: Simplify right side
    980.59x = 487,426.19
  5. Step 5: Solve for x
    x = 487,426.19/980.59
  6. Step 6: Final answer
    x = 497.07

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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.