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Finding the Fourth Proportional to 1,255.37, 1,882.90 and 331.00

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Solution

The fourth proportional to 1,255.37, 1,882.90 and 331.00 is: 496.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.37 : 1,882.90 = 331.00 : x
  2. Step 2: Convert to fraction form
    1,255.37/1,882.90 = 331.00/x
  3. Step 3: Cross multiply
    1,255.37x = 1,882.90 × 331.00
  4. Step 4: Simplify right side
    1,255.37x = 623,232.70
  5. Step 5: Solve for x
    x = 623,232.70/1,255.37
  6. Step 6: Final answer
    x = 496.46

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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.