Home / 1,031.24-1,546.44-381.75

Finding the Fourth Proportional to 1,031.24, 1,546.44 and 381.75

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Solution

The fourth proportional to 1,031.24, 1,546.44 and 381.75 is: 572.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.24 : 1,546.44 = 381.75 : x
  2. Step 2: Convert to fraction form
    1,031.24/1,546.44 = 381.75/x
  3. Step 3: Cross multiply
    1,031.24x = 1,546.44 × 381.75
  4. Step 4: Simplify right side
    1,031.24x = 590,353.47
  5. Step 5: Solve for x
    x = 590,353.47/1,031.24
  6. Step 6: Final answer
    x = 572.47

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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.