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Finding the Fourth Proportional to 2,255.04, 3,383.07 and 794.21

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Solution

The fourth proportional to 2,255.04, 3,383.07 and 794.21 is: 1,191.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,255.04 : 3,383.07 = 794.21 : x
  2. Step 2: Convert to fraction form
    2,255.04/3,383.07 = 794.21/x
  3. Step 3: Cross multiply
    2,255.04x = 3,383.07 × 794.21
  4. Step 4: Simplify right side
    2,255.04x = 2,686,848.13
  5. Step 5: Solve for x
    x = 2,686,848.13/2,255.04
  6. Step 6: Final answer
    x = 1,191.49

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1.5x scale

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.