Home / 1,274.03-1,911.37-408.34

Finding the Fourth Proportional to 1,274.03, 1,911.37 and 408.34

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Solution

The fourth proportional to 1,274.03, 1,911.37 and 408.34 is: 612.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,274.03 : 1,911.37 = 408.34 : x
  2. Step 2: Convert to fraction form
    1,274.03/1,911.37 = 408.34/x
  3. Step 3: Cross multiply
    1,274.03x = 1,911.37 × 408.34
  4. Step 4: Simplify right side
    1,274.03x = 780,488.83
  5. Step 5: Solve for x
    x = 780,488.83/1,274.03
  6. Step 6: Final answer
    x = 612.61

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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.