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Finding the Fourth Proportional to 980.10, 1,471.56 and 859.82

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Solution

The fourth proportional to 980.10, 1,471.56 and 859.82 is: 1,290.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.10 : 1,471.56 = 859.82 : x
  2. Step 2: Convert to fraction form
    980.10/1,471.56 = 859.82/x
  3. Step 3: Cross multiply
    980.10x = 1,471.56 × 859.82
  4. Step 4: Simplify right side
    980.10x = 1,265,276.72
  5. Step 5: Solve for x
    x = 1,265,276.72/980.10
  6. Step 6: Final answer
    x = 1,290.97

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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.