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Finding the Fourth Proportional to 796.21, 1,098.74 and 442.12

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Solution

The fourth proportional to 796.21, 1,098.74 and 442.12 is: 610.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.21 : 1,098.74 = 442.12 : x
  2. Step 2: Convert to fraction form
    796.21/1,098.74 = 442.12/x
  3. Step 3: Cross multiply
    796.21x = 1,098.74 × 442.12
  4. Step 4: Simplify right side
    796.21x = 485,767.22
  5. Step 5: Solve for x
    x = 485,767.22/796.21
  6. Step 6: Final answer
    x = 610.10

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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.