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Finding the Fourth Proportional to 819.73, 1,224.17 and 720.37

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Solution

The fourth proportional to 819.73, 1,224.17 and 720.37 is: 1,075.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.73 : 1,224.17 = 720.37 : x
  2. Step 2: Convert to fraction form
    819.73/1,224.17 = 720.37/x
  3. Step 3: Cross multiply
    819.73x = 1,224.17 × 720.37
  4. Step 4: Simplify right side
    819.73x = 881,855.34
  5. Step 5: Solve for x
    x = 881,855.34/819.73
  6. Step 6: Final answer
    x = 1,075.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.