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Finding the Fourth Proportional to 1,305.40, 1,958.23 and 380.97

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Solution

The fourth proportional to 1,305.40, 1,958.23 and 380.97 is: 571.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.40 : 1,958.23 = 380.97 : x
  2. Step 2: Convert to fraction form
    1,305.40/1,958.23 = 380.97/x
  3. Step 3: Cross multiply
    1,305.40x = 1,958.23 × 380.97
  4. Step 4: Simplify right side
    1,305.40x = 746,026.88
  5. Step 5: Solve for x
    x = 746,026.88/1,305.40
  6. Step 6: Final answer
    x = 571.49

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Double scale
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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.