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Finding the Fourth Proportional to 1,186.69, 1,778.95 and 528.22

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Solution

The fourth proportional to 1,186.69, 1,778.95 and 528.22 is: 791.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,186.69 : 1,778.95 = 528.22 : x
  2. Step 2: Convert to fraction form
    1,186.69/1,778.95 = 528.22/x
  3. Step 3: Cross multiply
    1,186.69x = 1,778.95 × 528.22
  4. Step 4: Simplify right side
    1,186.69x = 939,676.97
  5. Step 5: Solve for x
    x = 939,676.97/1,186.69
  6. Step 6: Final answer
    x = 791.85

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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.