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Finding the Fourth Proportional to 893.22, 1,230.81 and 804.51

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Solution

The fourth proportional to 893.22, 1,230.81 and 804.51 is: 1,108.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.22 : 1,230.81 = 804.51 : x
  2. Step 2: Convert to fraction form
    893.22/1,230.81 = 804.51/x
  3. Step 3: Cross multiply
    893.22x = 1,230.81 × 804.51
  4. Step 4: Simplify right side
    893.22x = 990,198.95
  5. Step 5: Solve for x
    x = 990,198.95/893.22
  6. Step 6: Final answer
    x = 1,108.57

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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.