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Finding the Fourth Proportional to 1,186.93, 1,778.37 and 666.73

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Solution

The fourth proportional to 1,186.93, 1,778.37 and 666.73 is: 998.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.93 : 1,778.37 = 666.73 : x
  2. Step 2: Convert to fraction form
    1,186.93/1,778.37 = 666.73/x
  3. Step 3: Cross multiply
    1,186.93x = 1,778.37 × 666.73
  4. Step 4: Simplify right side
    1,186.93x = 1,185,692.63
  5. Step 5: Solve for x
    x = 1,185,692.63/1,186.93
  6. Step 6: Final answer
    x = 998.96

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.