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Finding the Fourth Proportional to 1,309.74, 1,963.38 and 443.45

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Solution

The fourth proportional to 1,309.74, 1,963.38 and 443.45 is: 664.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,309.74 : 1,963.38 = 443.45 : x
  2. Step 2: Convert to fraction form
    1,309.74/1,963.38 = 443.45/x
  3. Step 3: Cross multiply
    1,309.74x = 1,963.38 × 443.45
  4. Step 4: Simplify right side
    1,309.74x = 870,660.86
  5. Step 5: Solve for x
    x = 870,660.86/1,309.74
  6. Step 6: Final answer
    x = 664.76

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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.