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Finding the Fourth Proportional to 773.70, 1,067.51 and 458.95

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Solution

The fourth proportional to 773.70, 1,067.51 and 458.95 is: 633.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.70 : 1,067.51 = 458.95 : x
  2. Step 2: Convert to fraction form
    773.70/1,067.51 = 458.95/x
  3. Step 3: Cross multiply
    773.70x = 1,067.51 × 458.95
  4. Step 4: Simplify right side
    773.70x = 489,930.97
  5. Step 5: Solve for x
    x = 489,930.97/773.70
  6. Step 6: Final answer
    x = 633.23

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1.5x scale

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.