Home / 1,031.24-1,546.86-300.80

Finding the Fourth Proportional to 1,031.24, 1,546.86 and 300.80

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Solution

The fourth proportional to 1,031.24, 1,546.86 and 300.80 is: 451.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.24 : 1,546.86 = 300.80 : x
  2. Step 2: Convert to fraction form
    1,031.24/1,546.86 = 300.80/x
  3. Step 3: Cross multiply
    1,031.24x = 1,546.86 × 300.80
  4. Step 4: Simplify right side
    1,031.24x = 465,295.49
  5. Step 5: Solve for x
    x = 465,295.49/1,031.24
  6. Step 6: Final answer
    x = 451.20

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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.