Home / 1,149.94-1,724.84-419.64

Finding the Fourth Proportional to 1,149.94, 1,724.84 and 419.64

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Solution

The fourth proportional to 1,149.94, 1,724.84 and 419.64 is: 629.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.94 : 1,724.84 = 419.64 : x
  2. Step 2: Convert to fraction form
    1,149.94/1,724.84 = 419.64/x
  3. Step 3: Cross multiply
    1,149.94x = 1,724.84 × 419.64
  4. Step 4: Simplify right side
    1,149.94x = 723,811.86
  5. Step 5: Solve for x
    x = 723,811.86/1,149.94
  6. Step 6: Final answer
    x = 629.43

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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.