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Finding the Fourth Proportional to 464.12, 695.62 and 326.96

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Solution

The fourth proportional to 464.12, 695.62 and 326.96 is: 490.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    464.12 : 695.62 = 326.96 : x
  2. Step 2: Convert to fraction form
    464.12/695.62 = 326.96/x
  3. Step 3: Cross multiply
    464.12x = 695.62 × 326.96
  4. Step 4: Simplify right side
    464.12x = 227,439.92
  5. Step 5: Solve for x
    x = 227,439.92/464.12
  6. Step 6: Final answer
    x = 490.05

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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.