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Finding the Fourth Proportional to 796.32, 1,194.78 and 309.40

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Solution

The fourth proportional to 796.32, 1,194.78 and 309.40 is: 464.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.32 : 1,194.78 = 309.40 : x
  2. Step 2: Convert to fraction form
    796.32/1,194.78 = 309.40/x
  3. Step 3: Cross multiply
    796.32x = 1,194.78 × 309.40
  4. Step 4: Simplify right side
    796.32x = 369,664.93
  5. Step 5: Solve for x
    x = 369,664.93/796.32
  6. Step 6: Final answer
    x = 464.22

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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.