Home / 1,406.64-2,108.36-789.44

Finding the Fourth Proportional to 1,406.64, 2,108.36 and 789.44

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Solution

The fourth proportional to 1,406.64, 2,108.36 and 789.44 is: 1,183.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.64 : 2,108.36 = 789.44 : x
  2. Step 2: Convert to fraction form
    1,406.64/2,108.36 = 789.44/x
  3. Step 3: Cross multiply
    1,406.64x = 2,108.36 × 789.44
  4. Step 4: Simplify right side
    1,406.64x = 1,664,423.72
  5. Step 5: Solve for x
    x = 1,664,423.72/1,406.64
  6. Step 6: Final answer
    x = 1,183.26

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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.