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Finding the Fourth Proportional to 825.88, 1,137.81 and 787.00

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Solution

The fourth proportional to 825.88, 1,137.81 and 787.00 is: 1,084.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    825.88 : 1,137.81 = 787.00 : x
  2. Step 2: Convert to fraction form
    825.88/1,137.81 = 787.00/x
  3. Step 3: Cross multiply
    825.88x = 1,137.81 × 787.00
  4. Step 4: Simplify right side
    825.88x = 895,450.78
  5. Step 5: Solve for x
    x = 895,450.78/825.88
  6. Step 6: Final answer
    x = 1,084.24

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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.