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Finding the Fourth Proportional to 774.01, 1,067.84 and 494.26

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Solution

The fourth proportional to 774.01, 1,067.84 and 494.26 is: 681.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.01 : 1,067.84 = 494.26 : x
  2. Step 2: Convert to fraction form
    774.01/1,067.84 = 494.26/x
  3. Step 3: Cross multiply
    774.01x = 1,067.84 × 494.26
  4. Step 4: Simplify right side
    774.01x = 527,784.02
  5. Step 5: Solve for x
    x = 527,784.02/774.01
  6. Step 6: Final answer
    x = 681.88

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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.