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Finding the Fourth Proportional to 797.97, 1,197.02 and 311.02

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Solution

The fourth proportional to 797.97, 1,197.02 and 311.02 is: 466.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.97 : 1,197.02 = 311.02 : x
  2. Step 2: Convert to fraction form
    797.97/1,197.02 = 311.02/x
  3. Step 3: Cross multiply
    797.97x = 1,197.02 × 311.02
  4. Step 4: Simplify right side
    797.97x = 372,297.16
  5. Step 5: Solve for x
    x = 372,297.16/797.97
  6. Step 6: Final answer
    x = 466.56

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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.