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Finding the Fourth Proportional to 660.73, 991.08 and 270.85

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Solution

The fourth proportional to 660.73, 991.08 and 270.85 is: 406.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.73 : 991.08 = 270.85 : x
  2. Step 2: Convert to fraction form
    660.73/991.08 = 270.85/x
  3. Step 3: Cross multiply
    660.73x = 991.08 × 270.85
  4. Step 4: Simplify right side
    660.73x = 268,434.02
  5. Step 5: Solve for x
    x = 268,434.02/660.73
  6. Step 6: Final answer
    x = 406.27

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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.