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Finding the Fourth Proportional to 943.06, 1,299.81 and 680.98

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Solution

The fourth proportional to 943.06, 1,299.81 and 680.98 is: 938.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.06 : 1,299.81 = 680.98 : x
  2. Step 2: Convert to fraction form
    943.06/1,299.81 = 680.98/x
  3. Step 3: Cross multiply
    943.06x = 1,299.81 × 680.98
  4. Step 4: Simplify right side
    943.06x = 885,144.61
  5. Step 5: Solve for x
    x = 885,144.61/943.06
  6. Step 6: Final answer
    x = 938.59

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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.