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Finding the Fourth Proportional to 796.87, 1,188.34 and 699.83

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Solution

The fourth proportional to 796.87, 1,188.34 and 699.83 is: 1,043.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.87 : 1,188.34 = 699.83 : x
  2. Step 2: Convert to fraction form
    796.87/1,188.34 = 699.83/x
  3. Step 3: Cross multiply
    796.87x = 1,188.34 × 699.83
  4. Step 4: Simplify right side
    796.87x = 831,635.98
  5. Step 5: Solve for x
    x = 831,635.98/796.87
  6. Step 6: Final answer
    x = 1,043.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.