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Finding the Fourth Proportional to 1,069.39, 1,597.29 and 838.54

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Solution

The fourth proportional to 1,069.39, 1,597.29 and 838.54 is: 1,252.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069.39 : 1,597.29 = 838.54 : x
  2. Step 2: Convert to fraction form
    1,069.39/1,597.29 = 838.54/x
  3. Step 3: Cross multiply
    1,069.39x = 1,597.29 × 838.54
  4. Step 4: Simplify right side
    1,069.39x = 1,339,391.56
  5. Step 5: Solve for x
    x = 1,339,391.56/1,069.39
  6. Step 6: Final answer
    x = 1,252.48

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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.