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Finding the Fourth Proportional to 796.90, 1,195.10 and 552.69

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Solution

The fourth proportional to 796.90, 1,195.10 and 552.69 is: 828.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.90 : 1,195.10 = 552.69 : x
  2. Step 2: Convert to fraction form
    796.90/1,195.10 = 552.69/x
  3. Step 3: Cross multiply
    796.90x = 1,195.10 × 552.69
  4. Step 4: Simplify right side
    796.90x = 660,519.82
  5. Step 5: Solve for x
    x = 660,519.82/796.90
  6. Step 6: Final answer
    x = 828.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.