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Finding the Fourth Proportional to 1,249.77, 1,872.58 and 839.01

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Solution

The fourth proportional to 1,249.77, 1,872.58 and 839.01 is: 1,257.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,249.77 : 1,872.58 = 839.01 : x
  2. Step 2: Convert to fraction form
    1,249.77/1,872.58 = 839.01/x
  3. Step 3: Cross multiply
    1,249.77x = 1,872.58 × 839.01
  4. Step 4: Simplify right side
    1,249.77x = 1,571,113.35
  5. Step 5: Solve for x
    x = 1,571,113.35/1,249.77
  6. Step 6: Final answer
    x = 1,257.12

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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.