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Finding the Fourth Proportional to 982.04, 1,471.92 and 520.34

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Solution

The fourth proportional to 982.04, 1,471.92 and 520.34 is: 779.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.04 : 1,471.92 = 520.34 : x
  2. Step 2: Convert to fraction form
    982.04/1,471.92 = 520.34/x
  3. Step 3: Cross multiply
    982.04x = 1,471.92 × 520.34
  4. Step 4: Simplify right side
    982.04x = 765,891.49
  5. Step 5: Solve for x
    x = 765,891.49/982.04
  6. Step 6: Final answer
    x = 779.90

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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.