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Finding the Fourth Proportional to 1,249.13, 1,873.53 and 427.39

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Solution

The fourth proportional to 1,249.13, 1,873.53 and 427.39 is: 641.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.13 : 1,873.53 = 427.39 : x
  2. Step 2: Convert to fraction form
    1,249.13/1,873.53 = 427.39/x
  3. Step 3: Cross multiply
    1,249.13x = 1,873.53 × 427.39
  4. Step 4: Simplify right side
    1,249.13x = 800,727.99
  5. Step 5: Solve for x
    x = 800,727.99/1,249.13
  6. Step 6: Final answer
    x = 641.03

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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.