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Finding the Fourth Proportional to 983.27, 1,473.01 and 550.73

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Solution

The fourth proportional to 983.27, 1,473.01 and 550.73 is: 825.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.27 : 1,473.01 = 550.73 : x
  2. Step 2: Convert to fraction form
    983.27/1,473.01 = 550.73/x
  3. Step 3: Cross multiply
    983.27x = 1,473.01 × 550.73
  4. Step 4: Simplify right side
    983.27x = 811,230.80
  5. Step 5: Solve for x
    x = 811,230.80/983.27
  6. Step 6: Final answer
    x = 825.03

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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.