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Finding the Fourth Proportional to 812.79, 1,225.27 and 743.60

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Solution

The fourth proportional to 812.79, 1,225.27 and 743.60 is: 1,120.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.79 : 1,225.27 = 743.60 : x
  2. Step 2: Convert to fraction form
    812.79/1,225.27 = 743.60/x
  3. Step 3: Cross multiply
    812.79x = 1,225.27 × 743.60
  4. Step 4: Simplify right side
    812.79x = 911,110.77
  5. Step 5: Solve for x
    x = 911,110.77/812.79
  6. Step 6: Final answer
    x = 1,120.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.