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Finding the Fourth Proportional to 943.55, 1,299.19 and 838.46

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Solution

The fourth proportional to 943.55, 1,299.19 and 838.46 is: 1,154.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.55 : 1,299.19 = 838.46 : x
  2. Step 2: Convert to fraction form
    943.55/1,299.19 = 838.46/x
  3. Step 3: Cross multiply
    943.55x = 1,299.19 × 838.46
  4. Step 4: Simplify right side
    943.55x = 1,089,318.85
  5. Step 5: Solve for x
    x = 1,089,318.85/943.55
  6. Step 6: Final answer
    x = 1,154.49

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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.