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Finding the Fourth Proportional to 812, 1,120.36 and 462.56

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Solution

The fourth proportional to 812, 1,120.36 and 462.56 is: 638.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    812 : 1,120.36 = 462.56 : x
  2. Step 2: Convert to fraction form
    812/1,120.36 = 462.56/x
  3. Step 3: Cross multiply
    812x = 1,120.36 × 462.56
  4. Step 4: Simplify right side
    812x = 518,233.72
  5. Step 5: Solve for x
    x = 518,233.72/812
  6. Step 6: Final answer
    x = 638.22

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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.