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Finding the Fourth Proportional to 872.84, 1,314.46 and 787.16

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Solution

The fourth proportional to 872.84, 1,314.46 and 787.16 is: 1,185.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.84 : 1,314.46 = 787.16 : x
  2. Step 2: Convert to fraction form
    872.84/1,314.46 = 787.16/x
  3. Step 3: Cross multiply
    872.84x = 1,314.46 × 787.16
  4. Step 4: Simplify right side
    872.84x = 1,034,686.40
  5. Step 5: Solve for x
    x = 1,034,686.40/872.84
  6. Step 6: Final answer
    x = 1,185.43

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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.