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Finding the Fourth Proportional to 887.26, 1,337.52 and 827.79

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Solution

The fourth proportional to 887.26, 1,337.52 and 827.79 is: 1,247.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.26 : 1,337.52 = 827.79 : x
  2. Step 2: Convert to fraction form
    887.26/1,337.52 = 827.79/x
  3. Step 3: Cross multiply
    887.26x = 1,337.52 × 827.79
  4. Step 4: Simplify right side
    887.26x = 1,107,185.68
  5. Step 5: Solve for x
    x = 1,107,185.68/887.26
  6. Step 6: Final answer
    x = 1,247.87

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.