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Finding the Fourth Proportional to 943.25, 1,301.69 and 550.49

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Solution

The fourth proportional to 943.25, 1,301.69 and 550.49 is: 759.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.25 : 1,301.69 = 550.49 : x
  2. Step 2: Convert to fraction form
    943.25/1,301.69 = 550.49/x
  3. Step 3: Cross multiply
    943.25x = 1,301.69 × 550.49
  4. Step 4: Simplify right side
    943.25x = 716,567.33
  5. Step 5: Solve for x
    x = 716,567.33/943.25
  6. Step 6: Final answer
    x = 759.68

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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.