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Finding the Fourth Proportional to 980.89, 1,471.06 and 287.59

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Solution

The fourth proportional to 980.89, 1,471.06 and 287.59 is: 431.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.89 : 1,471.06 = 287.59 : x
  2. Step 2: Convert to fraction form
    980.89/1,471.06 = 287.59/x
  3. Step 3: Cross multiply
    980.89x = 1,471.06 × 287.59
  4. Step 4: Simplify right side
    980.89x = 423,062.15
  5. Step 5: Solve for x
    x = 423,062.15/980.89
  6. Step 6: Final answer
    x = 431.30

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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.