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Finding the Fourth Proportional to 943.53, 1,301.38 and 818.97

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Solution

The fourth proportional to 943.53, 1,301.38 and 818.97 is: 1,129.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.53 : 1,301.38 = 818.97 : x
  2. Step 2: Convert to fraction form
    943.53/1,301.38 = 818.97/x
  3. Step 3: Cross multiply
    943.53x = 1,301.38 × 818.97
  4. Step 4: Simplify right side
    943.53x = 1,065,791.18
  5. Step 5: Solve for x
    x = 1,065,791.18/943.53
  6. Step 6: Final answer
    x = 1,129.58

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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.