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Finding the Fourth Proportional to 797.28, 1,194.30 and 406.74

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Solution

The fourth proportional to 797.28, 1,194.30 and 406.74 is: 609.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.28 : 1,194.30 = 406.74 : x
  2. Step 2: Convert to fraction form
    797.28/1,194.30 = 406.74/x
  3. Step 3: Cross multiply
    797.28x = 1,194.30 × 406.74
  4. Step 4: Simplify right side
    797.28x = 485,769.58
  5. Step 5: Solve for x
    x = 485,769.58/797.28
  6. Step 6: Final answer
    x = 609.28

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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.