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Finding the Fourth Proportional to 796.97, 1,098.50 and 639.32

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Solution

The fourth proportional to 796.97, 1,098.50 and 639.32 is: 881.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.97 : 1,098.50 = 639.32 : x
  2. Step 2: Convert to fraction form
    796.97/1,098.50 = 639.32/x
  3. Step 3: Cross multiply
    796.97x = 1,098.50 × 639.32
  4. Step 4: Simplify right side
    796.97x = 702,284.33
  5. Step 5: Solve for x
    x = 702,284.33/796.97
  6. Step 6: Final answer
    x = 881.19

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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.