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Finding the Fourth Proportional to 829.43, 1,244.14 and 367.42

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Solution

The fourth proportional to 829.43, 1,244.14 and 367.42 is: 551.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.43 : 1,244.14 = 367.42 : x
  2. Step 2: Convert to fraction form
    829.43/1,244.14 = 367.42/x
  3. Step 3: Cross multiply
    829.43x = 1,244.14 × 367.42
  4. Step 4: Simplify right side
    829.43x = 457,121.92
  5. Step 5: Solve for x
    x = 457,121.92/829.43
  6. Step 6: Final answer
    x = 551.13

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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.