Home / 1,148.67-1,723.78-408.25

Finding the Fourth Proportional to 1,148.67, 1,723.78 and 408.25

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Solution

The fourth proportional to 1,148.67, 1,723.78 and 408.25 is: 612.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,148.67 : 1,723.78 = 408.25 : x
  2. Step 2: Convert to fraction form
    1,148.67/1,723.78 = 408.25/x
  3. Step 3: Cross multiply
    1,148.67x = 1,723.78 × 408.25
  4. Step 4: Simplify right side
    1,148.67x = 703,738.98
  5. Step 5: Solve for x
    x = 703,738.98/1,148.67
  6. Step 6: Final answer
    x = 612.65

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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.