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Finding the Fourth Proportional to 991.09, 1,367.69 and 571.41

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Solution

The fourth proportional to 991.09, 1,367.69 and 571.41 is: 788.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.09 : 1,367.69 = 571.41 : x
  2. Step 2: Convert to fraction form
    991.09/1,367.69 = 571.41/x
  3. Step 3: Cross multiply
    991.09x = 1,367.69 × 571.41
  4. Step 4: Simplify right side
    991.09x = 781,507.39
  5. Step 5: Solve for x
    x = 781,507.39/991.09
  6. Step 6: Final answer
    x = 788.53

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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.