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Finding the Fourth Proportional to 464.67, 640.10 and 333.45

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Solution

The fourth proportional to 464.67, 640.10 and 333.45 is: 459.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.67 : 640.10 = 333.45 : x
  2. Step 2: Convert to fraction form
    464.67/640.10 = 333.45/x
  3. Step 3: Cross multiply
    464.67x = 640.10 × 333.45
  4. Step 4: Simplify right side
    464.67x = 213,442.18
  5. Step 5: Solve for x
    x = 213,442.18/464.67
  6. Step 6: Final answer
    x = 459.34

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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.