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Finding the Fourth Proportional to 799.12, 1,102.01 and 484.43

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Solution

The fourth proportional to 799.12, 1,102.01 and 484.43 is: 668.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.12 : 1,102.01 = 484.43 : x
  2. Step 2: Convert to fraction form
    799.12/1,102.01 = 484.43/x
  3. Step 3: Cross multiply
    799.12x = 1,102.01 × 484.43
  4. Step 4: Simplify right side
    799.12x = 533,844.97
  5. Step 5: Solve for x
    x = 533,844.97/799.12
  6. Step 6: Final answer
    x = 668.04

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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.