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Finding the Fourth Proportional to 886.76, 1,336.77 and 827.29

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Solution

The fourth proportional to 886.76, 1,336.77 and 827.29 is: 1,247.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.76 : 1,336.77 = 827.29 : x
  2. Step 2: Convert to fraction form
    886.76/1,336.77 = 827.29/x
  3. Step 3: Cross multiply
    886.76x = 1,336.77 × 827.29
  4. Step 4: Simplify right side
    886.76x = 1,105,893.11
  5. Step 5: Solve for x
    x = 1,105,893.11/886.76
  6. Step 6: Final answer
    x = 1,247.12

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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.