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Finding the Fourth Proportional to 1,180.64, 1,627.04 and 866

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Solution

The fourth proportional to 1,180.64, 1,627.04 and 866 is: 1,193.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,180.64 : 1,627.04 = 866 : x
  2. Step 2: Convert to fraction form
    1,180.64/1,627.04 = 866/x
  3. Step 3: Cross multiply
    1,180.64x = 1,627.04 × 866
  4. Step 4: Simplify right side
    1,180.64x = 1,409,016.64
  5. Step 5: Solve for x
    x = 1,409,016.64/1,180.64
  6. Step 6: Final answer
    x = 1,193.43

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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.