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Finding the Fourth Proportional to 991, 1,367.70 and 577

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Solution

The fourth proportional to 991, 1,367.70 and 577 is: 796.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    991 : 1,367.70 = 577 : x
  2. Step 2: Convert to fraction form
    991/1,367.70 = 577/x
  3. Step 3: Cross multiply
    991x = 1,367.70 × 577
  4. Step 4: Simplify right side
    991x = 789,162.90
  5. Step 5: Solve for x
    x = 789,162.90/991
  6. Step 6: Final answer
    x = 796.33

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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.