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Finding the Fourth Proportional to 1,317.93, 1,976.96 and 440.51

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Solution

The fourth proportional to 1,317.93, 1,976.96 and 440.51 is: 660.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,317.93 : 1,976.96 = 440.51 : x
  2. Step 2: Convert to fraction form
    1,317.93/1,976.96 = 440.51/x
  3. Step 3: Cross multiply
    1,317.93x = 1,976.96 × 440.51
  4. Step 4: Simplify right side
    1,317.93x = 870,858.56
  5. Step 5: Solve for x
    x = 870,858.56/1,317.93
  6. Step 6: Final answer
    x = 660.78

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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.