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Finding the Fourth Proportional to 938.97, 1,296.42 and 585.03

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Solution

The fourth proportional to 938.97, 1,296.42 and 585.03 is: 807.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    938.97 : 1,296.42 = 585.03 : x
  2. Step 2: Convert to fraction form
    938.97/1,296.42 = 585.03/x
  3. Step 3: Cross multiply
    938.97x = 1,296.42 × 585.03
  4. Step 4: Simplify right side
    938.97x = 758,447.26
  5. Step 5: Solve for x
    x = 758,447.26/938.97
  6. Step 6: Final answer
    x = 807.74

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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.