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Finding the Fourth Proportional to 774.93, 1,067.33 and 716.54

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Solution

The fourth proportional to 774.93, 1,067.33 and 716.54 is: 986.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    774.93 : 1,067.33 = 716.54 : x
  2. Step 2: Convert to fraction form
    774.93/1,067.33 = 716.54/x
  3. Step 3: Cross multiply
    774.93x = 1,067.33 × 716.54
  4. Step 4: Simplify right side
    774.93x = 764,781.06
  5. Step 5: Solve for x
    x = 764,781.06/774.93
  6. Step 6: Final answer
    x = 986.90

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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.