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Finding the Fourth Proportional to 806.03, 1,211.07 and 513.66

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Solution

The fourth proportional to 806.03, 1,211.07 and 513.66 is: 771.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.03 : 1,211.07 = 513.66 : x
  2. Step 2: Convert to fraction form
    806.03/1,211.07 = 513.66/x
  3. Step 3: Cross multiply
    806.03x = 1,211.07 × 513.66
  4. Step 4: Simplify right side
    806.03x = 622,078.22
  5. Step 5: Solve for x
    x = 622,078.22/806.03
  6. Step 6: Final answer
    x = 771.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.