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Finding the Fourth Proportional to 799.48, 1,103.07 and 484.49

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Solution

The fourth proportional to 799.48, 1,103.07 and 484.49 is: 668.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    799.48 : 1,103.07 = 484.49 : x
  2. Step 2: Convert to fraction form
    799.48/1,103.07 = 484.49/x
  3. Step 3: Cross multiply
    799.48x = 1,103.07 × 484.49
  4. Step 4: Simplify right side
    799.48x = 534,426.38
  5. Step 5: Solve for x
    x = 534,426.38/799.48
  6. Step 6: Final answer
    x = 668.47

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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.