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Finding the Fourth Proportional to 983.73, 1,474.07 and 571.85

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Solution

The fourth proportional to 983.73, 1,474.07 and 571.85 is: 856.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.73 : 1,474.07 = 571.85 : x
  2. Step 2: Convert to fraction form
    983.73/1,474.07 = 571.85/x
  3. Step 3: Cross multiply
    983.73x = 1,474.07 × 571.85
  4. Step 4: Simplify right side
    983.73x = 842,936.70
  5. Step 5: Solve for x
    x = 842,936.70/983.73
  6. Step 6: Final answer
    x = 856.88

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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.