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Finding the Fourth Proportional to 1,318.09, 1,976.49 and 440.29

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Solution

The fourth proportional to 1,318.09, 1,976.49 and 440.29 is: 660.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,318.09 : 1,976.49 = 440.29 : x
  2. Step 2: Convert to fraction form
    1,318.09/1,976.49 = 440.29/x
  3. Step 3: Cross multiply
    1,318.09x = 1,976.49 × 440.29
  4. Step 4: Simplify right side
    1,318.09x = 870,229.60
  5. Step 5: Solve for x
    x = 870,229.60/1,318.09
  6. Step 6: Final answer
    x = 660.22

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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.