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Finding the Fourth Proportional to 414.85, 622.29 and 342.58

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Solution

The fourth proportional to 414.85, 622.29 and 342.58 is: 513.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.85 : 622.29 = 342.58 : x
  2. Step 2: Convert to fraction form
    414.85/622.29 = 342.58/x
  3. Step 3: Cross multiply
    414.85x = 622.29 × 342.58
  4. Step 4: Simplify right side
    414.85x = 213,184.11
  5. Step 5: Solve for x
    x = 213,184.11/414.85
  6. Step 6: Final answer
    x = 513.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.