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Finding the Fourth Proportional to 773.99, 1,067.64 and 494.13

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Solution

The fourth proportional to 773.99, 1,067.64 and 494.13 is: 681.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    773.99 : 1,067.64 = 494.13 : x
  2. Step 2: Convert to fraction form
    773.99/1,067.64 = 494.13/x
  3. Step 3: Cross multiply
    773.99x = 1,067.64 × 494.13
  4. Step 4: Simplify right side
    773.99x = 527,549.57
  5. Step 5: Solve for x
    x = 527,549.57/773.99
  6. Step 6: Final answer
    x = 681.59

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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.