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Finding the Fourth Proportional to 800.39, 1,103.97 and 520.11

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Solution

The fourth proportional to 800.39, 1,103.97 and 520.11 is: 717.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.39 : 1,103.97 = 520.11 : x
  2. Step 2: Convert to fraction form
    800.39/1,103.97 = 520.11/x
  3. Step 3: Cross multiply
    800.39x = 1,103.97 × 520.11
  4. Step 4: Simplify right side
    800.39x = 574,187.79
  5. Step 5: Solve for x
    x = 574,187.79/800.39
  6. Step 6: Final answer
    x = 717.38

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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.