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Finding the Fourth Proportional to 828.28, 1,150.69 and 820.68

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Solution

The fourth proportional to 828.28, 1,150.69 and 820.68 is: 1,140.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.28 : 1,150.69 = 820.68 : x
  2. Step 2: Convert to fraction form
    828.28/1,150.69 = 820.68/x
  3. Step 3: Cross multiply
    828.28x = 1,150.69 × 820.68
  4. Step 4: Simplify right side
    828.28x = 944,348.27
  5. Step 5: Solve for x
    x = 944,348.27/828.28
  6. Step 6: Final answer
    x = 1,140.13

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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.