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Finding the Fourth Proportional to 796.90, 1,098.74 and 696.92

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Solution

The fourth proportional to 796.90, 1,098.74 and 696.92 is: 960.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.90 : 1,098.74 = 696.92 : x
  2. Step 2: Convert to fraction form
    796.90/1,098.74 = 696.92/x
  3. Step 3: Cross multiply
    796.90x = 1,098.74 × 696.92
  4. Step 4: Simplify right side
    796.90x = 765,733.88
  5. Step 5: Solve for x
    x = 765,733.88/796.90
  6. Step 6: Final answer
    x = 960.89

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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.