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Finding the Fourth Proportional to 464.91, 642.41 and 333.69

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Solution

The fourth proportional to 464.91, 642.41 and 333.69 is: 461.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.91 : 642.41 = 333.69 : x
  2. Step 2: Convert to fraction form
    464.91/642.41 = 333.69/x
  3. Step 3: Cross multiply
    464.91x = 642.41 × 333.69
  4. Step 4: Simplify right side
    464.91x = 214,365.79
  5. Step 5: Solve for x
    x = 214,365.79/464.91
  6. Step 6: Final answer
    x = 461.09

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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.