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Finding the Fourth Proportional to 812.21, 1,216.37 and 464.49

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Solution

The fourth proportional to 812.21, 1,216.37 and 464.49 is: 695.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.21 : 1,216.37 = 464.49 : x
  2. Step 2: Convert to fraction form
    812.21/1,216.37 = 464.49/x
  3. Step 3: Cross multiply
    812.21x = 1,216.37 × 464.49
  4. Step 4: Simplify right side
    812.21x = 564,995.68
  5. Step 5: Solve for x
    x = 564,995.68/812.21
  6. Step 6: Final answer
    x = 695.62

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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.