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Finding the Fourth Proportional to 943.72, 1,409.23 and 770.73

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Solution

The fourth proportional to 943.72, 1,409.23 and 770.73 is: 1,150.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.72 : 1,409.23 = 770.73 : x
  2. Step 2: Convert to fraction form
    943.72/1,409.23 = 770.73/x
  3. Step 3: Cross multiply
    943.72x = 1,409.23 × 770.73
  4. Step 4: Simplify right side
    943.72x = 1,086,136.19
  5. Step 5: Solve for x
    x = 1,086,136.19/943.72
  6. Step 6: Final answer
    x = 1,150.91

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.