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Finding the Fourth Proportional to 796.13, 1,192.88 and 308.92

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Solution

The fourth proportional to 796.13, 1,192.88 and 308.92 is: 462.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.13 : 1,192.88 = 308.92 : x
  2. Step 2: Convert to fraction form
    796.13/1,192.88 = 308.92/x
  3. Step 3: Cross multiply
    796.13x = 1,192.88 × 308.92
  4. Step 4: Simplify right side
    796.13x = 368,497.75
  5. Step 5: Solve for x
    x = 368,497.75/796.13
  6. Step 6: Final answer
    x = 462.86

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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.