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Finding the Fourth Proportional to 799.95, 1,198.63 and 490.87

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Solution

The fourth proportional to 799.95, 1,198.63 and 490.87 is: 735.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.95 : 1,198.63 = 490.87 : x
  2. Step 2: Convert to fraction form
    799.95/1,198.63 = 490.87/x
  3. Step 3: Cross multiply
    799.95x = 1,198.63 × 490.87
  4. Step 4: Simplify right side
    799.95x = 588,371.51
  5. Step 5: Solve for x
    x = 588,371.51/799.95
  6. Step 6: Final answer
    x = 735.51

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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.