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Finding the Fourth Proportional to 797.27, 1,193.68 and 406.43

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Solution

The fourth proportional to 797.27, 1,193.68 and 406.43 is: 608.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.27 : 1,193.68 = 406.43 : x
  2. Step 2: Convert to fraction form
    797.27/1,193.68 = 406.43/x
  3. Step 3: Cross multiply
    797.27x = 1,193.68 × 406.43
  4. Step 4: Simplify right side
    797.27x = 485,141.90
  5. Step 5: Solve for x
    x = 485,141.90/797.27
  6. Step 6: Final answer
    x = 608.50

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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.