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Finding the Fourth Proportional to 829, 1,144.01 and 455.97

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Solution

The fourth proportional to 829, 1,144.01 and 455.97 is: 629.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    829 : 1,144.01 = 455.97 : x
  2. Step 2: Convert to fraction form
    829/1,144.01 = 455.97/x
  3. Step 3: Cross multiply
    829x = 1,144.01 × 455.97
  4. Step 4: Simplify right side
    829x = 521,634.24
  5. Step 5: Solve for x
    x = 521,634.24/829
  6. Step 6: Final answer
    x = 629.23

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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.