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Finding the Fourth Proportional to 789.78, 1,184.66 and 269.64

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Solution

The fourth proportional to 789.78, 1,184.66 and 269.64 is: 404.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.78 : 1,184.66 = 269.64 : x
  2. Step 2: Convert to fraction form
    789.78/1,184.66 = 269.64/x
  3. Step 3: Cross multiply
    789.78x = 1,184.66 × 269.64
  4. Step 4: Simplify right side
    789.78x = 319,431.72
  5. Step 5: Solve for x
    x = 319,431.72/789.78
  6. Step 6: Final answer
    x = 404.46

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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.