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Finding the Fourth Proportional to 789.78, 1,182.86 and 379.20

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Solution

The fourth proportional to 789.78, 1,182.86 and 379.20 is: 567.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.78 : 1,182.86 = 379.20 : x
  2. Step 2: Convert to fraction form
    789.78/1,182.86 = 379.20/x
  3. Step 3: Cross multiply
    789.78x = 1,182.86 × 379.20
  4. Step 4: Simplify right side
    789.78x = 448,540.51
  5. Step 5: Solve for x
    x = 448,540.51/789.78
  6. Step 6: Final answer
    x = 567.93

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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.