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Finding the Fourth Proportional to 799.45, 1,199.46 and 312.85

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Solution

The fourth proportional to 799.45, 1,199.46 and 312.85 is: 469.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.45 : 1,199.46 = 312.85 : x
  2. Step 2: Convert to fraction form
    799.45/1,199.46 = 312.85/x
  3. Step 3: Cross multiply
    799.45x = 1,199.46 × 312.85
  4. Step 4: Simplify right side
    799.45x = 375,251.06
  5. Step 5: Solve for x
    x = 375,251.06/799.45
  6. Step 6: Final answer
    x = 469.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.