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Finding the Fourth Proportional to 1,193.98, 1,647.20 and 861.67

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Solution

The fourth proportional to 1,193.98, 1,647.20 and 861.67 is: 1,188.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,193.98 : 1,647.20 = 861.67 : x
  2. Step 2: Convert to fraction form
    1,193.98/1,647.20 = 861.67/x
  3. Step 3: Cross multiply
    1,193.98x = 1,647.20 × 861.67
  4. Step 4: Simplify right side
    1,193.98x = 1,419,342.82
  5. Step 5: Solve for x
    x = 1,419,342.82/1,193.98
  6. Step 6: Final answer
    x = 1,188.75

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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.