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Finding the Fourth Proportional to 812.57, 1,121.36 and 453.70

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Solution

The fourth proportional to 812.57, 1,121.36 and 453.70 is: 626.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.57 : 1,121.36 = 453.70 : x
  2. Step 2: Convert to fraction form
    812.57/1,121.36 = 453.70/x
  3. Step 3: Cross multiply
    812.57x = 1,121.36 × 453.70
  4. Step 4: Simplify right side
    812.57x = 508,755.96
  5. Step 5: Solve for x
    x = 508,755.96/812.57
  6. Step 6: Final answer
    x = 626.11

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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.