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Finding the Fourth Proportional to 2,605.22, 3,908.07 and 849.77

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Solution

The fourth proportional to 2,605.22, 3,908.07 and 849.77 is: 1,274.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.22 : 3,908.07 = 849.77 : x
  2. Step 2: Convert to fraction form
    2,605.22/3,908.07 = 849.77/x
  3. Step 3: Cross multiply
    2,605.22x = 3,908.07 × 849.77
  4. Step 4: Simplify right side
    2,605.22x = 3,320,956.40
  5. Step 5: Solve for x
    x = 3,320,956.40/2,605.22
  6. Step 6: Final answer
    x = 1,274.73

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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.