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Finding the Fourth Proportional to 943.80, 1,299.36 and 744.27

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Solution

The fourth proportional to 943.80, 1,299.36 and 744.27 is: 1,024.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.80 : 1,299.36 = 744.27 : x
  2. Step 2: Convert to fraction form
    943.80/1,299.36 = 744.27/x
  3. Step 3: Cross multiply
    943.80x = 1,299.36 × 744.27
  4. Step 4: Simplify right side
    943.80x = 967,068.17
  5. Step 5: Solve for x
    x = 967,068.17/943.80
  6. Step 6: Final answer
    x = 1,024.66

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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.