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Finding the Fourth Proportional to 789.33, 1,089.21 and 490.44

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Solution

The fourth proportional to 789.33, 1,089.21 and 490.44 is: 676.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.33 : 1,089.21 = 490.44 : x
  2. Step 2: Convert to fraction form
    789.33/1,089.21 = 490.44/x
  3. Step 3: Cross multiply
    789.33x = 1,089.21 × 490.44
  4. Step 4: Simplify right side
    789.33x = 534,192.15
  5. Step 5: Solve for x
    x = 534,192.15/789.33
  6. Step 6: Final answer
    x = 676.77

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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.