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Finding the Fourth Proportional to 796.13, 1,098.68 and 446.84

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Solution

The fourth proportional to 796.13, 1,098.68 and 446.84 is: 616.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.13 : 1,098.68 = 446.84 : x
  2. Step 2: Convert to fraction form
    796.13/1,098.68 = 446.84/x
  3. Step 3: Cross multiply
    796.13x = 1,098.68 × 446.84
  4. Step 4: Simplify right side
    796.13x = 490,926.44
  5. Step 5: Solve for x
    x = 490,926.44/796.13
  6. Step 6: Final answer
    x = 616.64

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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.