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Finding the Fourth Proportional to 798.96, 1,198.80 and 569.33

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Solution

The fourth proportional to 798.96, 1,198.80 and 569.33 is: 854.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    798.96 : 1,198.80 = 569.33 : x
  2. Step 2: Convert to fraction form
    798.96/1,198.80 = 569.33/x
  3. Step 3: Cross multiply
    798.96x = 1,198.80 × 569.33
  4. Step 4: Simplify right side
    798.96x = 682,511.31
  5. Step 5: Solve for x
    x = 682,511.31/798.96
  6. Step 6: Final answer
    x = 854.25

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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.