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Finding the Fourth Proportional to 798.87, 1,100.82 and 612.36

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Solution

The fourth proportional to 798.87, 1,100.82 and 612.36 is: 843.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.87 : 1,100.82 = 612.36 : x
  2. Step 2: Convert to fraction form
    798.87/1,100.82 = 612.36/x
  3. Step 3: Cross multiply
    798.87x = 1,100.82 × 612.36
  4. Step 4: Simplify right side
    798.87x = 674,098.14
  5. Step 5: Solve for x
    x = 674,098.14/798.87
  6. Step 6: Final answer
    x = 843.81

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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.