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Finding the Fourth Proportional to 893.20, 1,339.80 and 842.80

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Solution

The fourth proportional to 893.20, 1,339.80 and 842.80 is: 1,264.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.20 : 1,339.80 = 842.80 : x
  2. Step 2: Convert to fraction form
    893.20/1,339.80 = 842.80/x
  3. Step 3: Cross multiply
    893.20x = 1,339.80 × 842.80
  4. Step 4: Simplify right side
    893.20x = 1,129,183.44
  5. Step 5: Solve for x
    x = 1,129,183.44/893.20
  6. Step 6: Final answer
    x = 1,264.20

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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.