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Finding the Fourth Proportional to 1,309.11, 1,964.07 and 659.49

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Solution

The fourth proportional to 1,309.11, 1,964.07 and 659.49 is: 989.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.11 : 1,964.07 = 659.49 : x
  2. Step 2: Convert to fraction form
    1,309.11/1,964.07 = 659.49/x
  3. Step 3: Cross multiply
    1,309.11x = 1,964.07 × 659.49
  4. Step 4: Simplify right side
    1,309.11x = 1,295,284.52
  5. Step 5: Solve for x
    x = 1,295,284.52/1,309.11
  6. Step 6: Final answer
    x = 989.44

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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.