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Finding the Fourth Proportional to 1,778.45, 2,667.27 and 790.73

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Solution

The fourth proportional to 1,778.45, 2,667.27 and 790.73 is: 1,185.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,778.45 : 2,667.27 = 790.73 : x
  2. Step 2: Convert to fraction form
    1,778.45/2,667.27 = 790.73/x
  3. Step 3: Cross multiply
    1,778.45x = 2,667.27 × 790.73
  4. Step 4: Simplify right side
    1,778.45x = 2,109,090.41
  5. Step 5: Solve for x
    x = 2,109,090.41/1,778.45
  6. Step 6: Final answer
    x = 1,185.91

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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.