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Finding the Fourth Proportional to 943.23, 1,297.83 and 774.56

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Solution

The fourth proportional to 943.23, 1,297.83 and 774.56 is: 1,065.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.23 : 1,297.83 = 774.56 : x
  2. Step 2: Convert to fraction form
    943.23/1,297.83 = 774.56/x
  3. Step 3: Cross multiply
    943.23x = 1,297.83 × 774.56
  4. Step 4: Simplify right side
    943.23x = 1,005,236.84
  5. Step 5: Solve for x
    x = 1,005,236.84/943.23
  6. Step 6: Final answer
    x = 1,065.74

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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.