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Finding the Fourth Proportional to 681.17, 1,027.47 and 659.30

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Solution

The fourth proportional to 681.17, 1,027.47 and 659.30 is: 994.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    681.17 : 1,027.47 = 659.30 : x
  2. Step 2: Convert to fraction form
    681.17/1,027.47 = 659.30/x
  3. Step 3: Cross multiply
    681.17x = 1,027.47 × 659.30
  4. Step 4: Simplify right side
    681.17x = 677,408.31
  5. Step 5: Solve for x
    x = 677,408.31/681.17
  6. Step 6: Final answer
    x = 994.48

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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.