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Finding the Fourth Proportional to 1,284.31, 1,772.22 and 787.09

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Solution

The fourth proportional to 1,284.31, 1,772.22 and 787.09 is: 1,086.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,284.31 : 1,772.22 = 787.09 : x
  2. Step 2: Convert to fraction form
    1,284.31/1,772.22 = 787.09/x
  3. Step 3: Cross multiply
    1,284.31x = 1,772.22 × 787.09
  4. Step 4: Simplify right side
    1,284.31x = 1,394,896.64
  5. Step 5: Solve for x
    x = 1,394,896.64/1,284.31
  6. Step 6: Final answer
    x = 1,086.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.