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Finding the Fourth Proportional to 622.09, 858.27 and 385.95

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Solution

The fourth proportional to 622.09, 858.27 and 385.95 is: 532.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.09 : 858.27 = 385.95 : x
  2. Step 2: Convert to fraction form
    622.09/858.27 = 385.95/x
  3. Step 3: Cross multiply
    622.09x = 858.27 × 385.95
  4. Step 4: Simplify right side
    622.09x = 331,251.80
  5. Step 5: Solve for x
    x = 331,251.80/622.09
  6. Step 6: Final answer
    x = 532.48

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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.