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Finding the Fourth Proportional to 622.42, 858.89 and 342.67

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Solution

The fourth proportional to 622.42, 858.89 and 342.67 is: 472.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.42 : 858.89 = 342.67 : x
  2. Step 2: Convert to fraction form
    622.42/858.89 = 342.67/x
  3. Step 3: Cross multiply
    622.42x = 858.89 × 342.67
  4. Step 4: Simplify right side
    622.42x = 294,311.98
  5. Step 5: Solve for x
    x = 294,311.98/622.42
  6. Step 6: Final answer
    x = 472.85

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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.