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Finding the Fourth Proportional to 1,236.92, 1,855.20 and 415.16

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Solution

The fourth proportional to 1,236.92, 1,855.20 and 415.16 is: 622.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.92 : 1,855.20 = 415.16 : x
  2. Step 2: Convert to fraction form
    1,236.92/1,855.20 = 415.16/x
  3. Step 3: Cross multiply
    1,236.92x = 1,855.20 × 415.16
  4. Step 4: Simplify right side
    1,236.92x = 770,204.83
  5. Step 5: Solve for x
    x = 770,204.83/1,236.92
  6. Step 6: Final answer
    x = 622.68

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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.