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Finding the Fourth Proportional to 828.64, 1,141.68 and 722.92

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Solution

The fourth proportional to 828.64, 1,141.68 and 722.92 is: 996.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.64 : 1,141.68 = 722.92 : x
  2. Step 2: Convert to fraction form
    828.64/1,141.68 = 722.92/x
  3. Step 3: Cross multiply
    828.64x = 1,141.68 × 722.92
  4. Step 4: Simplify right side
    828.64x = 825,343.31
  5. Step 5: Solve for x
    x = 825,343.31/828.64
  6. Step 6: Final answer
    x = 996.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.