Home / 1,031.28-1,546.86-261.78

Finding the Fourth Proportional to 1,031.28, 1,546.86 and 261.78

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Solution

The fourth proportional to 1,031.28, 1,546.86 and 261.78 is: 392.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,031.28 : 1,546.86 = 261.78 : x
  2. Step 2: Convert to fraction form
    1,031.28/1,546.86 = 261.78/x
  3. Step 3: Cross multiply
    1,031.28x = 1,546.86 × 261.78
  4. Step 4: Simplify right side
    1,031.28x = 404,937.01
  5. Step 5: Solve for x
    x = 404,937.01/1,031.28
  6. Step 6: Final answer
    x = 392.65

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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.