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Finding the Fourth Proportional to 797.87, 1,096.80 and 712.96

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Solution

The fourth proportional to 797.87, 1,096.80 and 712.96 is: 980.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    797.87 : 1,096.80 = 712.96 : x
  2. Step 2: Convert to fraction form
    797.87/1,096.80 = 712.96/x
  3. Step 3: Cross multiply
    797.87x = 1,096.80 × 712.96
  4. Step 4: Simplify right side
    797.87x = 781,974.53
  5. Step 5: Solve for x
    x = 781,974.53/797.87
  6. Step 6: Final answer
    x = 980.08

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.