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Finding the Fourth Proportional to 622.31, 858.44 and 394.77

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Solution

The fourth proportional to 622.31, 858.44 and 394.77 is: 544.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.31 : 858.44 = 394.77 : x
  2. Step 2: Convert to fraction form
    622.31/858.44 = 394.77/x
  3. Step 3: Cross multiply
    622.31x = 858.44 × 394.77
  4. Step 4: Simplify right side
    622.31x = 338,887.35
  5. Step 5: Solve for x
    x = 338,887.35/622.31
  6. Step 6: Final answer
    x = 544.57

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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.