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Finding the Fourth Proportional to 1,249.17, 1,873.77 and 427.45

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Solution

The fourth proportional to 1,249.17, 1,873.77 and 427.45 is: 641.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.17 : 1,873.77 = 427.45 : x
  2. Step 2: Convert to fraction form
    1,249.17/1,873.77 = 427.45/x
  3. Step 3: Cross multiply
    1,249.17x = 1,873.77 × 427.45
  4. Step 4: Simplify right side
    1,249.17x = 800,945.93
  5. Step 5: Solve for x
    x = 800,945.93/1,249.17
  6. Step 6: Final answer
    x = 641.18

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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.