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Finding the Fourth Proportional to 813.11, 1,121.92 and 518.27

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Solution

The fourth proportional to 813.11, 1,121.92 and 518.27 is: 715.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    813.11 : 1,121.92 = 518.27 : x
  2. Step 2: Convert to fraction form
    813.11/1,121.92 = 518.27/x
  3. Step 3: Cross multiply
    813.11x = 1,121.92 × 518.27
  4. Step 4: Simplify right side
    813.11x = 581,450.57
  5. Step 5: Solve for x
    x = 581,450.57/813.11
  6. Step 6: Final answer
    x = 715.10

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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.