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Finding the Fourth Proportional to 414.91, 621.91 and 323.34

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Solution

The fourth proportional to 414.91, 621.91 and 323.34 is: 484.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.91 : 621.91 = 323.34 : x
  2. Step 2: Convert to fraction form
    414.91/621.91 = 323.34/x
  3. Step 3: Cross multiply
    414.91x = 621.91 × 323.34
  4. Step 4: Simplify right side
    414.91x = 201,088.38
  5. Step 5: Solve for x
    x = 201,088.38/414.91
  6. Step 6: Final answer
    x = 484.66

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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.