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Finding the Fourth Proportional to 819.99, 1,224.76 and 741.78

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Solution

The fourth proportional to 819.99, 1,224.76 and 741.78 is: 1,107.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.99 : 1,224.76 = 741.78 : x
  2. Step 2: Convert to fraction form
    819.99/1,224.76 = 741.78/x
  3. Step 3: Cross multiply
    819.99x = 1,224.76 × 741.78
  4. Step 4: Simplify right side
    819.99x = 908,501.31
  5. Step 5: Solve for x
    x = 908,501.31/819.99
  6. Step 6: Final answer
    x = 1,107.94

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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.