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Finding the Fourth Proportional to 799.55, 1,198.62 and 312.95

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Solution

The fourth proportional to 799.55, 1,198.62 and 312.95 is: 469.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.55 : 1,198.62 = 312.95 : x
  2. Step 2: Convert to fraction form
    799.55/1,198.62 = 312.95/x
  3. Step 3: Cross multiply
    799.55x = 1,198.62 × 312.95
  4. Step 4: Simplify right side
    799.55x = 375,102.14
  5. Step 5: Solve for x
    x = 375,102.14/799.55
  6. Step 6: Final answer
    x = 469.14

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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.