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Finding the Fourth Proportional to 799.69, 1,103.27 and 484.84

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Solution

The fourth proportional to 799.69, 1,103.27 and 484.84 is: 668.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.69 : 1,103.27 = 484.84 : x
  2. Step 2: Convert to fraction form
    799.69/1,103.27 = 484.84/x
  3. Step 3: Cross multiply
    799.69x = 1,103.27 × 484.84
  4. Step 4: Simplify right side
    799.69x = 534,909.43
  5. Step 5: Solve for x
    x = 534,909.43/799.69
  6. Step 6: Final answer
    x = 668.90

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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.