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Finding the Fourth Proportional to 622.21, 858.64 and 342.43

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Solution

The fourth proportional to 622.21, 858.64 and 342.43 is: 472.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    622.21 : 858.64 = 342.43 : x
  2. Step 2: Convert to fraction form
    622.21/858.64 = 342.43/x
  3. Step 3: Cross multiply
    622.21x = 858.64 × 342.43
  4. Step 4: Simplify right side
    622.21x = 294,024.10
  5. Step 5: Solve for x
    x = 294,024.10/622.21
  6. Step 6: Final answer
    x = 472.55

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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.