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Finding the Fourth Proportional to 1,260.92, 1,894.10 and 850.85

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Solution

The fourth proportional to 1,260.92, 1,894.10 and 850.85 is: 1,278.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,260.92 : 1,894.10 = 850.85 : x
  2. Step 2: Convert to fraction form
    1,260.92/1,894.10 = 850.85/x
  3. Step 3: Cross multiply
    1,260.92x = 1,894.10 × 850.85
  4. Step 4: Simplify right side
    1,260.92x = 1,611,587.64
  5. Step 5: Solve for x
    x = 1,611,587.64/1,260.92
  6. Step 6: Final answer
    x = 1,278.11

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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.