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Finding the Fourth Proportional to 791.88, 1,093.30 and 543.12

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Solution

The fourth proportional to 791.88, 1,093.30 and 543.12 is: 749.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.88 : 1,093.30 = 543.12 : x
  2. Step 2: Convert to fraction form
    791.88/1,093.30 = 543.12/x
  3. Step 3: Cross multiply
    791.88x = 1,093.30 × 543.12
  4. Step 4: Simplify right side
    791.88x = 593,793.10
  5. Step 5: Solve for x
    x = 593,793.10/791.88
  6. Step 6: Final answer
    x = 749.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.