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Finding the Fourth Proportional to 1,233.21, 1,847.69 and 866.28

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Solution

The fourth proportional to 1,233.21, 1,847.69 and 866.28 is: 1,297.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233.21 : 1,847.69 = 866.28 : x
  2. Step 2: Convert to fraction form
    1,233.21/1,847.69 = 866.28/x
  3. Step 3: Cross multiply
    1,233.21x = 1,847.69 × 866.28
  4. Step 4: Simplify right side
    1,233.21x = 1,600,612.56
  5. Step 5: Solve for x
    x = 1,600,612.56/1,233.21
  6. Step 6: Final answer
    x = 1,297.92

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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.