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Finding the Fourth Proportional to 812.05, 1,121.22 and 634.57

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Solution

The fourth proportional to 812.05, 1,121.22 and 634.57 is: 876.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.05 : 1,121.22 = 634.57 : x
  2. Step 2: Convert to fraction form
    812.05/1,121.22 = 634.57/x
  3. Step 3: Cross multiply
    812.05x = 1,121.22 × 634.57
  4. Step 4: Simplify right side
    812.05x = 711,492.58
  5. Step 5: Solve for x
    x = 711,492.58/812.05
  6. Step 6: Final answer
    x = 876.17

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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.