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Finding the Fourth Proportional to 991.44, 1,367.76 and 618.15

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Solution

The fourth proportional to 991.44, 1,367.76 and 618.15 is: 852.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.44 : 1,367.76 = 618.15 : x
  2. Step 2: Convert to fraction form
    991.44/1,367.76 = 618.15/x
  3. Step 3: Cross multiply
    991.44x = 1,367.76 × 618.15
  4. Step 4: Simplify right side
    991.44x = 845,480.84
  5. Step 5: Solve for x
    x = 845,480.84/991.44
  6. Step 6: Final answer
    x = 852.78

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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.