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Finding the Fourth Proportional to 791.91, 1,188.45 and 785.88

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Solution

The fourth proportional to 791.91, 1,188.45 and 785.88 is: 1,179.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.91 : 1,188.45 = 785.88 : x
  2. Step 2: Convert to fraction form
    791.91/1,188.45 = 785.88/x
  3. Step 3: Cross multiply
    791.91x = 1,188.45 × 785.88
  4. Step 4: Simplify right side
    791.91x = 933,979.09
  5. Step 5: Solve for x
    x = 933,979.09/791.91
  6. Step 6: Final answer
    x = 1,179.40

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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.