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Finding the Fourth Proportional to 464.45, 640.08 and 381.29

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Solution

The fourth proportional to 464.45, 640.08 and 381.29 is: 525.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.45 : 640.08 = 381.29 : x
  2. Step 2: Convert to fraction form
    464.45/640.08 = 381.29/x
  3. Step 3: Cross multiply
    464.45x = 640.08 × 381.29
  4. Step 4: Simplify right side
    464.45x = 244,052.90
  5. Step 5: Solve for x
    x = 244,052.90/464.45
  6. Step 6: Final answer
    x = 525.47

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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.