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Finding the Fourth Proportional to 991.04, 1,367.80 and 577.04

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Solution

The fourth proportional to 991.04, 1,367.80 and 577.04 is: 796.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.04 : 1,367.80 = 577.04 : x
  2. Step 2: Convert to fraction form
    991.04/1,367.80 = 577.04/x
  3. Step 3: Cross multiply
    991.04x = 1,367.80 × 577.04
  4. Step 4: Simplify right side
    991.04x = 789,275.31
  5. Step 5: Solve for x
    x = 789,275.31/991.04
  6. Step 6: Final answer
    x = 796.41

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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.