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Finding the Fourth Proportional to 1,910.71, 2,866.34 and 677.76

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Solution

The fourth proportional to 1,910.71, 2,866.34 and 677.76 is: 1,016.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,910.71 : 2,866.34 = 677.76 : x
  2. Step 2: Convert to fraction form
    1,910.71/2,866.34 = 677.76/x
  3. Step 3: Cross multiply
    1,910.71x = 2,866.34 × 677.76
  4. Step 4: Simplify right side
    1,910.71x = 1,942,690.60
  5. Step 5: Solve for x
    x = 1,942,690.60/1,910.71
  6. Step 6: Final answer
    x = 1,016.74

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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.