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Finding the Fourth Proportional to 796.20, 1,188.53 and 699

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Solution

The fourth proportional to 796.20, 1,188.53 and 699 is: 1,043.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.20 : 1,188.53 = 699 : x
  2. Step 2: Convert to fraction form
    796.20/1,188.53 = 699/x
  3. Step 3: Cross multiply
    796.20x = 1,188.53 × 699
  4. Step 4: Simplify right side
    796.20x = 830,778.98
  5. Step 5: Solve for x
    x = 830,778.98/796.20
  6. Step 6: Final answer
    x = 1,043.43

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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.