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Finding the Fourth Proportional to 1,276.11, 1,910.93 and 787.68

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Solution

The fourth proportional to 1,276.11, 1,910.93 and 787.68 is: 1,179.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,276.11 : 1,910.93 = 787.68 : x
  2. Step 2: Convert to fraction form
    1,276.11/1,910.93 = 787.68/x
  3. Step 3: Cross multiply
    1,276.11x = 1,910.93 × 787.68
  4. Step 4: Simplify right side
    1,276.11x = 1,505,197.40
  5. Step 5: Solve for x
    x = 1,505,197.40/1,276.11
  6. Step 6: Final answer
    x = 1,179.52

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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.