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Finding the Fourth Proportional to 796.32, 1,100.34 and 638.73

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Solution

The fourth proportional to 796.32, 1,100.34 and 638.73 is: 882.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.32 : 1,100.34 = 638.73 : x
  2. Step 2: Convert to fraction form
    796.32/1,100.34 = 638.73/x
  3. Step 3: Cross multiply
    796.32x = 1,100.34 × 638.73
  4. Step 4: Simplify right side
    796.32x = 702,820.17
  5. Step 5: Solve for x
    x = 702,820.17/796.32
  6. Step 6: Final answer
    x = 882.59

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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.