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Finding the Fourth Proportional to 796.17, 1,098.78 and 442.13

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Solution

The fourth proportional to 796.17, 1,098.78 and 442.13 is: 610.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.17 : 1,098.78 = 442.13 : x
  2. Step 2: Convert to fraction form
    796.17/1,098.78 = 442.13/x
  3. Step 3: Cross multiply
    796.17x = 1,098.78 × 442.13
  4. Step 4: Simplify right side
    796.17x = 485,796.45
  5. Step 5: Solve for x
    x = 485,796.45/796.17
  6. Step 6: Final answer
    x = 610.16

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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.