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Finding the Fourth Proportional to 1,076.82, 1,616.21 and 666.75

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Solution

The fourth proportional to 1,076.82, 1,616.21 and 666.75 is: 1,000.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.82 : 1,616.21 = 666.75 : x
  2. Step 2: Convert to fraction form
    1,076.82/1,616.21 = 666.75/x
  3. Step 3: Cross multiply
    1,076.82x = 1,616.21 × 666.75
  4. Step 4: Simplify right side
    1,076.82x = 1,077,608.02
  5. Step 5: Solve for x
    x = 1,077,608.02/1,076.82
  6. Step 6: Final answer
    x = 1,000.73

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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.