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Finding the Fourth Proportional to 799.66, 1,198.50 and 617.74

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Solution

The fourth proportional to 799.66, 1,198.50 and 617.74 is: 925.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.66 : 1,198.50 = 617.74 : x
  2. Step 2: Convert to fraction form
    799.66/1,198.50 = 617.74/x
  3. Step 3: Cross multiply
    799.66x = 1,198.50 × 617.74
  4. Step 4: Simplify right side
    799.66x = 740,361.39
  5. Step 5: Solve for x
    x = 740,361.39/799.66
  6. Step 6: Final answer
    x = 925.85

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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.