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Finding the Fourth Proportional to 622.28, 858.79 and 412.09

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Solution

The fourth proportional to 622.28, 858.79 and 412.09 is: 568.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.28 : 858.79 = 412.09 : x
  2. Step 2: Convert to fraction form
    622.28/858.79 = 412.09/x
  3. Step 3: Cross multiply
    622.28x = 858.79 × 412.09
  4. Step 4: Simplify right side
    622.28x = 353,896.43
  5. Step 5: Solve for x
    x = 353,896.43/622.28
  6. Step 6: Final answer
    x = 568.71

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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.