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Finding the Fourth Proportional to 796.14, 1,194.28 and 309.22

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Solution

The fourth proportional to 796.14, 1,194.28 and 309.22 is: 463.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.14 : 1,194.28 = 309.22 : x
  2. Step 2: Convert to fraction form
    796.14/1,194.28 = 309.22/x
  3. Step 3: Cross multiply
    796.14x = 1,194.28 × 309.22
  4. Step 4: Simplify right side
    796.14x = 369,300.29
  5. Step 5: Solve for x
    x = 369,300.29/796.14
  6. Step 6: Final answer
    x = 463.87

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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.