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Finding the Fourth Proportional to 789.20, 1,086.36 and 678.44

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Solution

The fourth proportional to 789.20, 1,086.36 and 678.44 is: 933.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.20 : 1,086.36 = 678.44 : x
  2. Step 2: Convert to fraction form
    789.20/1,086.36 = 678.44/x
  3. Step 3: Cross multiply
    789.20x = 1,086.36 × 678.44
  4. Step 4: Simplify right side
    789.20x = 737,030.08
  5. Step 5: Solve for x
    x = 737,030.08/789.20
  6. Step 6: Final answer
    x = 933.90

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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.