Home / 1,031.26-1,546.92-406.54

Finding the Fourth Proportional to 1,031.26, 1,546.92 and 406.54

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Solution

The fourth proportional to 1,031.26, 1,546.92 and 406.54 is: 609.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.26 : 1,546.92 = 406.54 : x
  2. Step 2: Convert to fraction form
    1,031.26/1,546.92 = 406.54/x
  3. Step 3: Cross multiply
    1,031.26x = 1,546.92 × 406.54
  4. Step 4: Simplify right side
    1,031.26x = 628,884.86
  5. Step 5: Solve for x
    x = 628,884.86/1,031.26
  6. Step 6: Final answer
    x = 609.82

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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.