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Finding the Fourth Proportional to 843.77, 1,262.32 and 791.93

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Solution

The fourth proportional to 843.77, 1,262.32 and 791.93 is: 1,184.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    843.77 : 1,262.32 = 791.93 : x
  2. Step 2: Convert to fraction form
    843.77/1,262.32 = 791.93/x
  3. Step 3: Cross multiply
    843.77x = 1,262.32 × 791.93
  4. Step 4: Simplify right side
    843.77x = 999,670.25
  5. Step 5: Solve for x
    x = 999,670.25/843.77
  6. Step 6: Final answer
    x = 1,184.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.