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Finding the Fourth Proportional to 1,857.74, 2,786.94 and 625.05

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Solution

The fourth proportional to 1,857.74, 2,786.94 and 625.05 is: 937.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.74 : 2,786.94 = 625.05 : x
  2. Step 2: Convert to fraction form
    1,857.74/2,786.94 = 625.05/x
  3. Step 3: Cross multiply
    1,857.74x = 2,786.94 × 625.05
  4. Step 4: Simplify right side
    1,857.74x = 1,741,976.85
  5. Step 5: Solve for x
    x = 1,741,976.85/1,857.74
  6. Step 6: Final answer
    x = 937.69

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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.