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Finding the Fourth Proportional to 662.97, 995.10 and 298.02

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Solution

The fourth proportional to 662.97, 995.10 and 298.02 is: 447.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.97 : 995.10 = 298.02 : x
  2. Step 2: Convert to fraction form
    662.97/995.10 = 298.02/x
  3. Step 3: Cross multiply
    662.97x = 995.10 × 298.02
  4. Step 4: Simplify right side
    662.97x = 296,559.70
  5. Step 5: Solve for x
    x = 296,559.70/662.97
  6. Step 6: Final answer
    x = 447.32

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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.