Home / 1,149.94-1,724.20-492.25

Finding the Fourth Proportional to 1,149.94, 1,724.20 and 492.25

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Solution

The fourth proportional to 1,149.94, 1,724.20 and 492.25 is: 738.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.94 : 1,724.20 = 492.25 : x
  2. Step 2: Convert to fraction form
    1,149.94/1,724.20 = 492.25/x
  3. Step 3: Cross multiply
    1,149.94x = 1,724.20 × 492.25
  4. Step 4: Simplify right side
    1,149.94x = 848,729.77
  5. Step 5: Solve for x
    x = 848,729.77/1,149.94
  6. Step 6: Final answer
    x = 738.06

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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.