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Finding the Fourth Proportional to 787.56, 1,084.41 and 688.74

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Solution

The fourth proportional to 787.56, 1,084.41 and 688.74 is: 948.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    787.56 : 1,084.41 = 688.74 : x
  2. Step 2: Convert to fraction form
    787.56/1,084.41 = 688.74/x
  3. Step 3: Cross multiply
    787.56x = 1,084.41 × 688.74
  4. Step 4: Simplify right side
    787.56x = 746,876.54
  5. Step 5: Solve for x
    x = 746,876.54/787.56
  6. Step 6: Final answer
    x = 948.34

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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.