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Finding the Fourth Proportional to 1,033.76, 1,427.82 and 838.28

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Solution

The fourth proportional to 1,033.76, 1,427.82 and 838.28 is: 1,157.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,033.76 : 1,427.82 = 838.28 : x
  2. Step 2: Convert to fraction form
    1,033.76/1,427.82 = 838.28/x
  3. Step 3: Cross multiply
    1,033.76x = 1,427.82 × 838.28
  4. Step 4: Simplify right side
    1,033.76x = 1,196,912.95
  5. Step 5: Solve for x
    x = 1,196,912.95/1,033.76
  6. Step 6: Final answer
    x = 1,157.82

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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.