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Finding the Fourth Proportional to 622.35, 858.83 and 342.59

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Solution

The fourth proportional to 622.35, 858.83 and 342.59 is: 472.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.35 : 858.83 = 342.59 : x
  2. Step 2: Convert to fraction form
    622.35/858.83 = 342.59/x
  3. Step 3: Cross multiply
    622.35x = 858.83 × 342.59
  4. Step 4: Simplify right side
    622.35x = 294,220.56
  5. Step 5: Solve for x
    x = 294,220.56/622.35
  6. Step 6: Final answer
    x = 472.76

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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.