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Finding the Fourth Proportional to 872.73, 1,314.27 and 787.05

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Solution

The fourth proportional to 872.73, 1,314.27 and 787.05 is: 1,185.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.73 : 1,314.27 = 787.05 : x
  2. Step 2: Convert to fraction form
    872.73/1,314.27 = 787.05/x
  3. Step 3: Cross multiply
    872.73x = 1,314.27 × 787.05
  4. Step 4: Simplify right side
    872.73x = 1,034,396.20
  5. Step 5: Solve for x
    x = 1,034,396.20/872.73
  6. Step 6: Final answer
    x = 1,185.24

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.