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Finding the Fourth Proportional to 681.45, 1,022.04 and 181.12

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Solution

The fourth proportional to 681.45, 1,022.04 and 181.12 is: 271.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.45 : 1,022.04 = 181.12 : x
  2. Step 2: Convert to fraction form
    681.45/1,022.04 = 181.12/x
  3. Step 3: Cross multiply
    681.45x = 1,022.04 × 181.12
  4. Step 4: Simplify right side
    681.45x = 185,111.88
  5. Step 5: Solve for x
    x = 185,111.88/681.45
  6. Step 6: Final answer
    x = 271.65

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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.