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Finding the Fourth Proportional to 893.22, 1,233.30 and 614.04

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Solution

The fourth proportional to 893.22, 1,233.30 and 614.04 is: 847.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.22 : 1,233.30 = 614.04 : x
  2. Step 2: Convert to fraction form
    893.22/1,233.30 = 614.04/x
  3. Step 3: Cross multiply
    893.22x = 1,233.30 × 614.04
  4. Step 4: Simplify right side
    893.22x = 757,295.53
  5. Step 5: Solve for x
    x = 757,295.53/893.22
  6. Step 6: Final answer
    x = 847.83

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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.