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Finding the Fourth Proportional to 906.85, 1,250.49 and 886.78

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Solution

The fourth proportional to 906.85, 1,250.49 and 886.78 is: 1,222.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.85 : 1,250.49 = 886.78 : x
  2. Step 2: Convert to fraction form
    906.85/1,250.49 = 886.78/x
  3. Step 3: Cross multiply
    906.85x = 1,250.49 × 886.78
  4. Step 4: Simplify right side
    906.85x = 1,108,909.52
  5. Step 5: Solve for x
    x = 1,108,909.52/906.85
  6. Step 6: Final answer
    x = 1,222.81

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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.