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Finding the Fourth Proportional to 464.32, 694.74 and 327.63

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Solution

The fourth proportional to 464.32, 694.74 and 327.63 is: 490.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.32 : 694.74 = 327.63 : x
  2. Step 2: Convert to fraction form
    464.32/694.74 = 327.63/x
  3. Step 3: Cross multiply
    464.32x = 694.74 × 327.63
  4. Step 4: Simplify right side
    464.32x = 227,617.67
  5. Step 5: Solve for x
    x = 227,617.67/464.32
  6. Step 6: Final answer
    x = 490.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.