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Finding the Fourth Proportional to 893.22, 1,229.97 and 745.60

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Solution

The fourth proportional to 893.22, 1,229.97 and 745.60 is: 1,026.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.22 : 1,229.97 = 745.60 : x
  2. Step 2: Convert to fraction form
    893.22/1,229.97 = 745.60/x
  3. Step 3: Cross multiply
    893.22x = 1,229.97 × 745.60
  4. Step 4: Simplify right side
    893.22x = 917,061.90
  5. Step 5: Solve for x
    x = 917,061.90/893.22
  6. Step 6: Final answer
    x = 1,026.69

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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.