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Finding the Fourth Proportional to 774.21, 1,067.23 and 655.75

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Solution

The fourth proportional to 774.21, 1,067.23 and 655.75 is: 903.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.21 : 1,067.23 = 655.75 : x
  2. Step 2: Convert to fraction form
    774.21/1,067.23 = 655.75/x
  3. Step 3: Cross multiply
    774.21x = 1,067.23 × 655.75
  4. Step 4: Simplify right side
    774.21x = 699,834.22
  5. Step 5: Solve for x
    x = 699,834.22/774.21
  6. Step 6: Final answer
    x = 903.93

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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.