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Finding the Fourth Proportional to 893.97, 1,234.37 and 697.14

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Solution

The fourth proportional to 893.97, 1,234.37 and 697.14 is: 962.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.97 : 1,234.37 = 697.14 : x
  2. Step 2: Convert to fraction form
    893.97/1,234.37 = 697.14/x
  3. Step 3: Cross multiply
    893.97x = 1,234.37 × 697.14
  4. Step 4: Simplify right side
    893.97x = 860,530.44
  5. Step 5: Solve for x
    x = 860,530.44/893.97
  6. Step 6: Final answer
    x = 962.59

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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.