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Finding the Fourth Proportional to 799.51, 1,198.85 and 312.43

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Solution

The fourth proportional to 799.51, 1,198.85 and 312.43 is: 468.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.51 : 1,198.85 = 312.43 : x
  2. Step 2: Convert to fraction form
    799.51/1,198.85 = 312.43/x
  3. Step 3: Cross multiply
    799.51x = 1,198.85 × 312.43
  4. Step 4: Simplify right side
    799.51x = 374,550.71
  5. Step 5: Solve for x
    x = 374,550.71/799.51
  6. Step 6: Final answer
    x = 468.48

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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.