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Finding the Fourth Proportional to 812.32, 1,120.96 and 462.94

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Solution

The fourth proportional to 812.32, 1,120.96 and 462.94 is: 638.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.32 : 1,120.96 = 462.94 : x
  2. Step 2: Convert to fraction form
    812.32/1,120.96 = 462.94/x
  3. Step 3: Cross multiply
    812.32x = 1,120.96 × 462.94
  4. Step 4: Simplify right side
    812.32x = 518,937.22
  5. Step 5: Solve for x
    x = 518,937.22/812.32
  6. Step 6: Final answer
    x = 638.83

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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.