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Finding the Fourth Proportional to 839.38, 1,253.78 and 824

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Solution

The fourth proportional to 839.38, 1,253.78 and 824 is: 1,230.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.38 : 1,253.78 = 824 : x
  2. Step 2: Convert to fraction form
    839.38/1,253.78 = 824/x
  3. Step 3: Cross multiply
    839.38x = 1,253.78 × 824
  4. Step 4: Simplify right side
    839.38x = 1,033,114.72
  5. Step 5: Solve for x
    x = 1,033,114.72/839.38
  6. Step 6: Final answer
    x = 1,230.81

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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.