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Finding the Fourth Proportional to 872.18, 1,309.68 and 828.33

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Solution

The fourth proportional to 872.18, 1,309.68 and 828.33 is: 1,243.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.18 : 1,309.68 = 828.33 : x
  2. Step 2: Convert to fraction form
    872.18/1,309.68 = 828.33/x
  3. Step 3: Cross multiply
    872.18x = 1,309.68 × 828.33
  4. Step 4: Simplify right side
    872.18x = 1,084,847.23
  5. Step 5: Solve for x
    x = 1,084,847.23/872.18
  6. Step 6: Final answer
    x = 1,243.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.