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Finding the Fourth Proportional to 943.41, 1,299.83 and 824.48

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Solution

The fourth proportional to 943.41, 1,299.83 and 824.48 is: 1,135.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.41 : 1,299.83 = 824.48 : x
  2. Step 2: Convert to fraction form
    943.41/1,299.83 = 824.48/x
  3. Step 3: Cross multiply
    943.41x = 1,299.83 × 824.48
  4. Step 4: Simplify right side
    943.41x = 1,071,677.34
  5. Step 5: Solve for x
    x = 1,071,677.34/943.41
  6. Step 6: Final answer
    x = 1,135.96

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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.