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Finding the Fourth Proportional to 1,305.77, 1,958.85 and 439.88

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Solution

The fourth proportional to 1,305.77, 1,958.85 and 439.88 is: 659.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,305.77 : 1,958.85 = 439.88 : x
  2. Step 2: Convert to fraction form
    1,305.77/1,958.85 = 439.88/x
  3. Step 3: Cross multiply
    1,305.77x = 1,958.85 × 439.88
  4. Step 4: Simplify right side
    1,305.77x = 861,649.14
  5. Step 5: Solve for x
    x = 861,649.14/1,305.77
  6. Step 6: Final answer
    x = 659.88

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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.