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Finding the Fourth Proportional to 681.09, 1,027.72 and 681.09

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Solution

The fourth proportional to 681.09, 1,027.72 and 681.09 is: 1,027.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.09 : 1,027.72 = 681.09 : x
  2. Step 2: Convert to fraction form
    681.09/1,027.72 = 681.09/x
  3. Step 3: Cross multiply
    681.09x = 1,027.72 × 681.09
  4. Step 4: Simplify right side
    681.09x = 699,969.81
  5. Step 5: Solve for x
    x = 699,969.81/681.09
  6. Step 6: Final answer
    x = 1,027.72

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.