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Finding the Fourth Proportional to 796.84, 1,195.64 and 412.09

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Solution

The fourth proportional to 796.84, 1,195.64 and 412.09 is: 618.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.84 : 1,195.64 = 412.09 : x
  2. Step 2: Convert to fraction form
    796.84/1,195.64 = 412.09/x
  3. Step 3: Cross multiply
    796.84x = 1,195.64 × 412.09
  4. Step 4: Simplify right side
    796.84x = 492,711.29
  5. Step 5: Solve for x
    x = 492,711.29/796.84
  6. Step 6: Final answer
    x = 618.33

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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.