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Finding the Fourth Proportional to 955.26, 1,438.56 and 834.98

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Solution

The fourth proportional to 955.26, 1,438.56 and 834.98 is: 1,257.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    955.26 : 1,438.56 = 834.98 : x
  2. Step 2: Convert to fraction form
    955.26/1,438.56 = 834.98/x
  3. Step 3: Cross multiply
    955.26x = 1,438.56 × 834.98
  4. Step 4: Simplify right side
    955.26x = 1,201,161.64
  5. Step 5: Solve for x
    x = 1,201,161.64/955.26
  6. Step 6: Final answer
    x = 1,257.42

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.