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Finding the Fourth Proportional to 796.19, 1,098.70 and 442.12

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Solution

The fourth proportional to 796.19, 1,098.70 and 442.12 is: 610.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.19 : 1,098.70 = 442.12 : x
  2. Step 2: Convert to fraction form
    796.19/1,098.70 = 442.12/x
  3. Step 3: Cross multiply
    796.19x = 1,098.70 × 442.12
  4. Step 4: Simplify right side
    796.19x = 485,752.36
  5. Step 5: Solve for x
    x = 485,752.36/796.19
  6. Step 6: Final answer
    x = 610.09

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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.