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Finding the Fourth Proportional to 942.09, 1,301.44 and 817.54

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Solution

The fourth proportional to 942.09, 1,301.44 and 817.54 is: 1,129.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    942.09 : 1,301.44 = 817.54 : x
  2. Step 2: Convert to fraction form
    942.09/1,301.44 = 817.54/x
  3. Step 3: Cross multiply
    942.09x = 1,301.44 × 817.54
  4. Step 4: Simplify right side
    942.09x = 1,063,979.26
  5. Step 5: Solve for x
    x = 1,063,979.26/942.09
  6. Step 6: Final answer
    x = 1,129.38

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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.