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Finding the Fourth Proportional to 829.14, 1,243.71 and 212.83

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Solution

The fourth proportional to 829.14, 1,243.71 and 212.83 is: 319.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.14 : 1,243.71 = 212.83 : x
  2. Step 2: Convert to fraction form
    829.14/1,243.71 = 212.83/x
  3. Step 3: Cross multiply
    829.14x = 1,243.71 × 212.83
  4. Step 4: Simplify right side
    829.14x = 264,695.69
  5. Step 5: Solve for x
    x = 264,695.69/829.14
  6. Step 6: Final answer
    x = 319.24

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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.