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Finding the Fourth Proportional to 829.66, 1,243.41 and 367.57

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Solution

The fourth proportional to 829.66, 1,243.41 and 367.57 is: 550.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.66 : 1,243.41 = 367.57 : x
  2. Step 2: Convert to fraction form
    829.66/1,243.41 = 367.57/x
  3. Step 3: Cross multiply
    829.66x = 1,243.41 × 367.57
  4. Step 4: Simplify right side
    829.66x = 457,040.21
  5. Step 5: Solve for x
    x = 457,040.21/829.66
  6. Step 6: Final answer
    x = 550.88

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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.