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Finding the Fourth Proportional to 1,236.08, 1,853.91 and 414.27

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Solution

The fourth proportional to 1,236.08, 1,853.91 and 414.27 is: 621.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236.08 : 1,853.91 = 414.27 : x
  2. Step 2: Convert to fraction form
    1,236.08/1,853.91 = 414.27/x
  3. Step 3: Cross multiply
    1,236.08x = 1,853.91 × 414.27
  4. Step 4: Simplify right side
    1,236.08x = 768,019.30
  5. Step 5: Solve for x
    x = 768,019.30/1,236.08
  6. Step 6: Final answer
    x = 621.34

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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.