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Finding the Fourth Proportional to 829.43, 1,244.13 and 213.13

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Solution

The fourth proportional to 829.43, 1,244.13 and 213.13 is: 319.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.43 : 1,244.13 = 213.13 : x
  2. Step 2: Convert to fraction form
    829.43/1,244.13 = 213.13/x
  3. Step 3: Cross multiply
    829.43x = 1,244.13 × 213.13
  4. Step 4: Simplify right side
    829.43x = 265,161.43
  5. Step 5: Solve for x
    x = 265,161.43/829.43
  6. Step 6: Final answer
    x = 319.69

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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.