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Finding the Fourth Proportional to 622.80, 858.78 and 426.42

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Solution

The fourth proportional to 622.80, 858.78 and 426.42 is: 587.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.80 : 858.78 = 426.42 : x
  2. Step 2: Convert to fraction form
    622.80/858.78 = 426.42/x
  3. Step 3: Cross multiply
    622.80x = 858.78 × 426.42
  4. Step 4: Simplify right side
    622.80x = 366,200.97
  5. Step 5: Solve for x
    x = 366,200.97/622.80
  6. Step 6: Final answer
    x = 587.99

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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.