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Finding the Fourth Proportional to 893.92, 1,338.12 and 568.80

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Solution

The fourth proportional to 893.92, 1,338.12 and 568.80 is: 851.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.92 : 1,338.12 = 568.80 : x
  2. Step 2: Convert to fraction form
    893.92/1,338.12 = 568.80/x
  3. Step 3: Cross multiply
    893.92x = 1,338.12 × 568.80
  4. Step 4: Simplify right side
    893.92x = 761,122.66
  5. Step 5: Solve for x
    x = 761,122.66/893.92
  6. Step 6: Final answer
    x = 851.44

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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.