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Finding the Fourth Proportional to 1,371.32, 2,057.60 and 678.68

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Solution

The fourth proportional to 1,371.32, 2,057.60 and 678.68 is: 1,018.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.32 : 2,057.60 = 678.68 : x
  2. Step 2: Convert to fraction form
    1,371.32/2,057.60 = 678.68/x
  3. Step 3: Cross multiply
    1,371.32x = 2,057.60 × 678.68
  4. Step 4: Simplify right side
    1,371.32x = 1,396,451.97
  5. Step 5: Solve for x
    x = 1,396,451.97/1,371.32
  6. Step 6: Final answer
    x = 1,018.33

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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.