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Finding the Fourth Proportional to 796.78, 1,195.62 and 309.77

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Solution

The fourth proportional to 796.78, 1,195.62 and 309.77 is: 464.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.78 : 1,195.62 = 309.77 : x
  2. Step 2: Convert to fraction form
    796.78/1,195.62 = 309.77/x
  3. Step 3: Cross multiply
    796.78x = 1,195.62 × 309.77
  4. Step 4: Simplify right side
    796.78x = 370,359.68
  5. Step 5: Solve for x
    x = 370,359.68/796.78
  6. Step 6: Final answer
    x = 464.82

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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.