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Finding the Fourth Proportional to 828.18, 1,242.27 and 809.96

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Solution

The fourth proportional to 828.18, 1,242.27 and 809.96 is: 1,214.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.18 : 1,242.27 = 809.96 : x
  2. Step 2: Convert to fraction form
    828.18/1,242.27 = 809.96/x
  3. Step 3: Cross multiply
    828.18x = 1,242.27 × 809.96
  4. Step 4: Simplify right side
    828.18x = 1,006,182.80
  5. Step 5: Solve for x
    x = 1,006,182.80/828.18
  6. Step 6: Final answer
    x = 1,214.93

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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.