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Finding the Fourth Proportional to 796.39, 1,098.95 and 460.04

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Solution

The fourth proportional to 796.39, 1,098.95 and 460.04 is: 634.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.39 : 1,098.95 = 460.04 : x
  2. Step 2: Convert to fraction form
    796.39/1,098.95 = 460.04/x
  3. Step 3: Cross multiply
    796.39x = 1,098.95 × 460.04
  4. Step 4: Simplify right side
    796.39x = 505,560.96
  5. Step 5: Solve for x
    x = 505,560.96/796.39
  6. Step 6: Final answer
    x = 634.82

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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.