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Finding the Fourth Proportional to 872.76, 1,197.01 and 828.23

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Solution

The fourth proportional to 872.76, 1,197.01 and 828.23 is: 1,135.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.76 : 1,197.01 = 828.23 : x
  2. Step 2: Convert to fraction form
    872.76/1,197.01 = 828.23/x
  3. Step 3: Cross multiply
    872.76x = 1,197.01 × 828.23
  4. Step 4: Simplify right side
    872.76x = 991,399.59
  5. Step 5: Solve for x
    x = 991,399.59/872.76
  6. Step 6: Final answer
    x = 1,135.94

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.