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Finding the Fourth Proportional to 660.97, 991.79 and 296.02

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Solution

The fourth proportional to 660.97, 991.79 and 296.02 is: 444.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.97 : 991.79 = 296.02 : x
  2. Step 2: Convert to fraction form
    660.97/991.79 = 296.02/x
  3. Step 3: Cross multiply
    660.97x = 991.79 × 296.02
  4. Step 4: Simplify right side
    660.97x = 293,589.68
  5. Step 5: Solve for x
    x = 293,589.68/660.97
  6. Step 6: Final answer
    x = 444.18

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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.