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Finding the Fourth Proportional to 789.09, 1,086.53 and 648.69

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Solution

The fourth proportional to 789.09, 1,086.53 and 648.69 is: 893.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.09 : 1,086.53 = 648.69 : x
  2. Step 2: Convert to fraction form
    789.09/1,086.53 = 648.69/x
  3. Step 3: Cross multiply
    789.09x = 1,086.53 × 648.69
  4. Step 4: Simplify right side
    789.09x = 704,817.90
  5. Step 5: Solve for x
    x = 704,817.90/789.09
  6. Step 6: Final answer
    x = 893.20

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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.