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Finding the Fourth Proportional to 1,787.38, 2,680.84 and 488.74

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Solution

The fourth proportional to 1,787.38, 2,680.84 and 488.74 is: 733.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.38 : 2,680.84 = 488.74 : x
  2. Step 2: Convert to fraction form
    1,787.38/2,680.84 = 488.74/x
  3. Step 3: Cross multiply
    1,787.38x = 2,680.84 × 488.74
  4. Step 4: Simplify right side
    1,787.38x = 1,310,233.74
  5. Step 5: Solve for x
    x = 1,310,233.74/1,787.38
  6. Step 6: Final answer
    x = 733.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.