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Finding the Fourth Proportional to 797.78, 1,098.68 and 724.34

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Solution

The fourth proportional to 797.78, 1,098.68 and 724.34 is: 997.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.78 : 1,098.68 = 724.34 : x
  2. Step 2: Convert to fraction form
    797.78/1,098.68 = 724.34/x
  3. Step 3: Cross multiply
    797.78x = 1,098.68 × 724.34
  4. Step 4: Simplify right side
    797.78x = 795,817.87
  5. Step 5: Solve for x
    x = 795,817.87/797.78
  6. Step 6: Final answer
    x = 997.54

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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.