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Finding the Fourth Proportional to 798.54, 1,198.22 and 568.10

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Solution

The fourth proportional to 798.54, 1,198.22 and 568.10 is: 852.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.54 : 1,198.22 = 568.10 : x
  2. Step 2: Convert to fraction form
    798.54/1,198.22 = 568.10/x
  3. Step 3: Cross multiply
    798.54x = 1,198.22 × 568.10
  4. Step 4: Simplify right side
    798.54x = 680,699.95
  5. Step 5: Solve for x
    x = 680,699.95/798.54
  6. Step 6: Final answer
    x = 852.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.