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Finding the Fourth Proportional to 827.56, 1,149.52 and 814.33

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Solution

The fourth proportional to 827.56, 1,149.52 and 814.33 is: 1,131.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    827.56 : 1,149.52 = 814.33 : x
  2. Step 2: Convert to fraction form
    827.56/1,149.52 = 814.33/x
  3. Step 3: Cross multiply
    827.56x = 1,149.52 × 814.33
  4. Step 4: Simplify right side
    827.56x = 936,088.62
  5. Step 5: Solve for x
    x = 936,088.62/827.56
  6. Step 6: Final answer
    x = 1,131.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.