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Finding the Fourth Proportional to 1,379.73, 1,904 and 790.26

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Solution

The fourth proportional to 1,379.73, 1,904 and 790.26 is: 1,090.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,379.73 : 1,904 = 790.26 : x
  2. Step 2: Convert to fraction form
    1,379.73/1,904 = 790.26/x
  3. Step 3: Cross multiply
    1,379.73x = 1,904 × 790.26
  4. Step 4: Simplify right side
    1,379.73x = 1,504,655.04
  5. Step 5: Solve for x
    x = 1,504,655.04/1,379.73
  6. Step 6: Final answer
    x = 1,090.54

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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.