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Finding the Fourth Proportional to 798.07, 1,101.24 and 443.97

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Solution

The fourth proportional to 798.07, 1,101.24 and 443.97 is: 612.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.07 : 1,101.24 = 443.97 : x
  2. Step 2: Convert to fraction form
    798.07/1,101.24 = 443.97/x
  3. Step 3: Cross multiply
    798.07x = 1,101.24 × 443.97
  4. Step 4: Simplify right side
    798.07x = 488,917.52
  5. Step 5: Solve for x
    x = 488,917.52/798.07
  6. Step 6: Final answer
    x = 612.62

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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.