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Finding the Fourth Proportional to 1,380.85, 1,905.51 and 790.97

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Solution

The fourth proportional to 1,380.85, 1,905.51 and 790.97 is: 1,091.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380.85 : 1,905.51 = 790.97 : x
  2. Step 2: Convert to fraction form
    1,380.85/1,905.51 = 790.97/x
  3. Step 3: Cross multiply
    1,380.85x = 1,905.51 × 790.97
  4. Step 4: Simplify right side
    1,380.85x = 1,507,201.24
  5. Step 5: Solve for x
    x = 1,507,201.24/1,380.85
  6. Step 6: Final answer
    x = 1,091.51

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Half scale
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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.