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Finding the Fourth Proportional to 1,003.51, 1,383.39 and 708.27

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Solution

The fourth proportional to 1,003.51, 1,383.39 and 708.27 is: 976.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003.51 : 1,383.39 = 708.27 : x
  2. Step 2: Convert to fraction form
    1,003.51/1,383.39 = 708.27/x
  3. Step 3: Cross multiply
    1,003.51x = 1,383.39 × 708.27
  4. Step 4: Simplify right side
    1,003.51x = 979,813.33
  5. Step 5: Solve for x
    x = 979,813.33/1,003.51
  6. Step 6: Final answer
    x = 976.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.