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Finding the Fourth Proportional to 854.77, 1,184.53 and 838.36

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Solution

The fourth proportional to 854.77, 1,184.53 and 838.36 is: 1,161.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.77 : 1,184.53 = 838.36 : x
  2. Step 2: Convert to fraction form
    854.77/1,184.53 = 838.36/x
  3. Step 3: Cross multiply
    854.77x = 1,184.53 × 838.36
  4. Step 4: Simplify right side
    854.77x = 993,062.57
  5. Step 5: Solve for x
    x = 993,062.57/854.77
  6. Step 6: Final answer
    x = 1,161.80

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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.