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Finding the Fourth Proportional to 773.21, 1,067.07 and 458.66

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Solution

The fourth proportional to 773.21, 1,067.07 and 458.66 is: 632.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.21 : 1,067.07 = 458.66 : x
  2. Step 2: Convert to fraction form
    773.21/1,067.07 = 458.66/x
  3. Step 3: Cross multiply
    773.21x = 1,067.07 × 458.66
  4. Step 4: Simplify right side
    773.21x = 489,419.66
  5. Step 5: Solve for x
    x = 489,419.66/773.21
  6. Step 6: Final answer
    x = 632.97

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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.