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Finding the Fourth Proportional to 1,181.81, 1,631.51 and 866.72

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Solution

The fourth proportional to 1,181.81, 1,631.51 and 866.72 is: 1,196.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.81 : 1,631.51 = 866.72 : x
  2. Step 2: Convert to fraction form
    1,181.81/1,631.51 = 866.72/x
  3. Step 3: Cross multiply
    1,181.81x = 1,631.51 × 866.72
  4. Step 4: Simplify right side
    1,181.81x = 1,414,049.86
  5. Step 5: Solve for x
    x = 1,414,049.86/1,181.81
  6. Step 6: Final answer
    x = 1,196.52

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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.