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Finding the Fourth Proportional to 828.74, 1,243.54 and 366.83

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Solution

The fourth proportional to 828.74, 1,243.54 and 366.83 is: 550.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.74 : 1,243.54 = 366.83 : x
  2. Step 2: Convert to fraction form
    828.74/1,243.54 = 366.83/x
  3. Step 3: Cross multiply
    828.74x = 1,243.54 × 366.83
  4. Step 4: Simplify right side
    828.74x = 456,167.78
  5. Step 5: Solve for x
    x = 456,167.78/828.74
  6. Step 6: Final answer
    x = 550.44

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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.