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Finding the Fourth Proportional to 812.17, 1,120.75 and 462.97

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Solution

The fourth proportional to 812.17, 1,120.75 and 462.97 is: 638.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.17 : 1,120.75 = 462.97 : x
  2. Step 2: Convert to fraction form
    812.17/1,120.75 = 462.97/x
  3. Step 3: Cross multiply
    812.17x = 1,120.75 × 462.97
  4. Step 4: Simplify right side
    812.17x = 518,873.63
  5. Step 5: Solve for x
    x = 518,873.63/812.17
  6. Step 6: Final answer
    x = 638.87

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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.