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Finding the Fourth Proportional to 866.89, 1,193.16 and 756.73

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Solution

The fourth proportional to 866.89, 1,193.16 and 756.73 is: 1,041.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    866.89 : 1,193.16 = 756.73 : x
  2. Step 2: Convert to fraction form
    866.89/1,193.16 = 756.73/x
  3. Step 3: Cross multiply
    866.89x = 1,193.16 × 756.73
  4. Step 4: Simplify right side
    866.89x = 902,899.97
  5. Step 5: Solve for x
    x = 902,899.97/866.89
  6. Step 6: Final answer
    x = 1,041.54

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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.