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Finding the Fourth Proportional to 854.89, 1,184.70 and 838.49

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Solution

The fourth proportional to 854.89, 1,184.70 and 838.49 is: 1,161.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.89 : 1,184.70 = 838.49 : x
  2. Step 2: Convert to fraction form
    854.89/1,184.70 = 838.49/x
  3. Step 3: Cross multiply
    854.89x = 1,184.70 × 838.49
  4. Step 4: Simplify right side
    854.89x = 993,356.32
  5. Step 5: Solve for x
    x = 993,356.32/854.89
  6. Step 6: Final answer
    x = 1,161.97

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.