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Finding the Fourth Proportional to 1,137.92, 1,705.94 and 1,046.78

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Solution

The fourth proportional to 1,137.92, 1,705.94 and 1,046.78 is: 1,569.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137.92 : 1,705.94 = 1,046.78 : x
  2. Step 2: Convert to fraction form
    1,137.92/1,705.94 = 1,046.78/x
  3. Step 3: Cross multiply
    1,137.92x = 1,705.94 × 1,046.78
  4. Step 4: Simplify right side
    1,137.92x = 1,785,743.87
  5. Step 5: Solve for x
    x = 1,785,743.87/1,137.92
  6. Step 6: Final answer
    x = 1,569.31

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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.