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Finding the Fourth Proportional to 1,787.43, 2,678.78 and 746.17

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Solution

The fourth proportional to 1,787.43, 2,678.78 and 746.17 is: 1,118.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,787.43 : 2,678.78 = 746.17 : x
  2. Step 2: Convert to fraction form
    1,787.43/2,678.78 = 746.17/x
  3. Step 3: Cross multiply
    1,787.43x = 2,678.78 × 746.17
  4. Step 4: Simplify right side
    1,787.43x = 1,998,821.54
  5. Step 5: Solve for x
    x = 1,998,821.54/1,787.43
  6. Step 6: Final answer
    x = 1,118.27

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1.5x scale

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.