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Finding the Fourth Proportional to 622.38, 858.89 and 342.63

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Solution

The fourth proportional to 622.38, 858.89 and 342.63 is: 472.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.38 : 858.89 = 342.63 : x
  2. Step 2: Convert to fraction form
    622.38/858.89 = 342.63/x
  3. Step 3: Cross multiply
    622.38x = 858.89 × 342.63
  4. Step 4: Simplify right side
    622.38x = 294,282.34
  5. Step 5: Solve for x
    x = 294,282.34/622.38
  6. Step 6: Final answer
    x = 472.83

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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.