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Finding the Fourth Proportional to 2,605.48, 3,908.14 and 850.44

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Solution

The fourth proportional to 2,605.48, 3,908.14 and 850.44 is: 1,275.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,605.48 : 3,908.14 = 850.44 : x
  2. Step 2: Convert to fraction form
    2,605.48/3,908.14 = 850.44/x
  3. Step 3: Cross multiply
    2,605.48x = 3,908.14 × 850.44
  4. Step 4: Simplify right side
    2,605.48x = 3,323,638.58
  5. Step 5: Solve for x
    x = 3,323,638.58/2,605.48
  6. Step 6: Final answer
    x = 1,275.63

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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.