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Finding the Fourth Proportional to 464.65, 639.84 and 333.43

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Solution

The fourth proportional to 464.65, 639.84 and 333.43 is: 459.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.65 : 639.84 = 333.43 : x
  2. Step 2: Convert to fraction form
    464.65/639.84 = 333.43/x
  3. Step 3: Cross multiply
    464.65x = 639.84 × 333.43
  4. Step 4: Simplify right side
    464.65x = 213,341.85
  5. Step 5: Solve for x
    x = 213,341.85/464.65
  6. Step 6: Final answer
    x = 459.15

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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.