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Finding the Fourth Proportional to 622.35, 858.42 and 425.88

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Solution

The fourth proportional to 622.35, 858.42 and 425.88 is: 587.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.35 : 858.42 = 425.88 : x
  2. Step 2: Convert to fraction form
    622.35/858.42 = 425.88/x
  3. Step 3: Cross multiply
    622.35x = 858.42 × 425.88
  4. Step 4: Simplify right side
    622.35x = 365,583.91
  5. Step 5: Solve for x
    x = 365,583.91/622.35
  6. Step 6: Final answer
    x = 587.42

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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.