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Finding the Fourth Proportional to 464.60, 640.77 and 333.68

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Solution

The fourth proportional to 464.60, 640.77 and 333.68 is: 460.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.60 : 640.77 = 333.68 : x
  2. Step 2: Convert to fraction form
    464.60/640.77 = 333.68/x
  3. Step 3: Cross multiply
    464.60x = 640.77 × 333.68
  4. Step 4: Simplify right side
    464.60x = 213,812.13
  5. Step 5: Solve for x
    x = 213,812.13/464.60
  6. Step 6: Final answer
    x = 460.21

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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.