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Finding the Fourth Proportional to 671.91, 926.73 and 494.82

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Solution

The fourth proportional to 671.91, 926.73 and 494.82 is: 682.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    671.91 : 926.73 = 494.82 : x
  2. Step 2: Convert to fraction form
    671.91/926.73 = 494.82/x
  3. Step 3: Cross multiply
    671.91x = 926.73 × 494.82
  4. Step 4: Simplify right side
    671.91x = 458,564.54
  5. Step 5: Solve for x
    x = 458,564.54/671.91
  6. Step 6: Final answer
    x = 682.48

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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.