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Finding the Fourth Proportional to 812.52, 1,224.81 and 765.54

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Solution

The fourth proportional to 812.52, 1,224.81 and 765.54 is: 1,153.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    812.52 : 1,224.81 = 765.54 : x
  2. Step 2: Convert to fraction form
    812.52/1,224.81 = 765.54/x
  3. Step 3: Cross multiply
    812.52x = 1,224.81 × 765.54
  4. Step 4: Simplify right side
    812.52x = 937,641.05
  5. Step 5: Solve for x
    x = 937,641.05/812.52
  6. Step 6: Final answer
    x = 1,153.99

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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.