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Finding the Fourth Proportional to 797.21, 1,097.66 and 724.31

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Solution

The fourth proportional to 797.21, 1,097.66 and 724.31 is: 997.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.21 : 1,097.66 = 724.31 : x
  2. Step 2: Convert to fraction form
    797.21/1,097.66 = 724.31/x
  3. Step 3: Cross multiply
    797.21x = 1,097.66 × 724.31
  4. Step 4: Simplify right side
    797.21x = 795,042.49
  5. Step 5: Solve for x
    x = 795,042.49/797.21
  6. Step 6: Final answer
    x = 997.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.