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Finding the Fourth Proportional to 1,857.15, 2,785.41 and 687.71

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Solution

The fourth proportional to 1,857.15, 2,785.41 and 687.71 is: 1,031.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,857.15 : 2,785.41 = 687.71 : x
  2. Step 2: Convert to fraction form
    1,857.15/2,785.41 = 687.71/x
  3. Step 3: Cross multiply
    1,857.15x = 2,785.41 × 687.71
  4. Step 4: Simplify right side
    1,857.15x = 1,915,540.38
  5. Step 5: Solve for x
    x = 1,915,540.38/1,857.15
  6. Step 6: Final answer
    x = 1,031.44

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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.