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Finding the Fourth Proportional to 829.09, 1,143.97 and 629.86

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Solution

The fourth proportional to 829.09, 1,143.97 and 629.86 is: 869.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    829.09 : 1,143.97 = 629.86 : x
  2. Step 2: Convert to fraction form
    829.09/1,143.97 = 629.86/x
  3. Step 3: Cross multiply
    829.09x = 1,143.97 × 629.86
  4. Step 4: Simplify right side
    829.09x = 720,537.79
  5. Step 5: Solve for x
    x = 720,537.79/829.09
  6. Step 6: Final answer
    x = 869.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.