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Finding the Fourth Proportional to 2,245.17, 3,367.95 and 685.14

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Solution

The fourth proportional to 2,245.17, 3,367.95 and 685.14 is: 1,027.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,245.17 : 3,367.95 = 685.14 : x
  2. Step 2: Convert to fraction form
    2,245.17/3,367.95 = 685.14/x
  3. Step 3: Cross multiply
    2,245.17x = 3,367.95 × 685.14
  4. Step 4: Simplify right side
    2,245.17x = 2,307,517.26
  5. Step 5: Solve for x
    x = 2,307,517.26/2,245.17
  6. Step 6: Final answer
    x = 1,027.77

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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.