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Finding the Fourth Proportional to 791.69, 1,091.00 and 558.41

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Solution

The fourth proportional to 791.69, 1,091.00 and 558.41 is: 769.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    791.69 : 1,091.00 = 558.41 : x
  2. Step 2: Convert to fraction form
    791.69/1,091.00 = 558.41/x
  3. Step 3: Cross multiply
    791.69x = 1,091.00 × 558.41
  4. Step 4: Simplify right side
    791.69x = 609,221.25
  5. Step 5: Solve for x
    x = 609,221.25/791.69
  6. Step 6: Final answer
    x = 769.52

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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.