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Finding the Fourth Proportional to 812, 1,120.64 and 462.69

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Solution

The fourth proportional to 812, 1,120.64 and 462.69 is: 638.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    812 : 1,120.64 = 462.69 : x
  2. Step 2: Convert to fraction form
    812/1,120.64 = 462.69/x
  3. Step 3: Cross multiply
    812x = 1,120.64 × 462.69
  4. Step 4: Simplify right side
    812x = 518,508.92
  5. Step 5: Solve for x
    x = 518,508.92/812
  6. Step 6: Final answer
    x = 638.56

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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.