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Finding the Fourth Proportional to 812.18, 1,216.32 and 464.46

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Solution

The fourth proportional to 812.18, 1,216.32 and 464.46 is: 695.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.18 : 1,216.32 = 464.46 : x
  2. Step 2: Convert to fraction form
    812.18/1,216.32 = 464.46/x
  3. Step 3: Cross multiply
    812.18x = 1,216.32 × 464.46
  4. Step 4: Simplify right side
    812.18x = 564,935.14
  5. Step 5: Solve for x
    x = 564,935.14/812.18
  6. Step 6: Final answer
    x = 695.58

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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.