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Finding the Fourth Proportional to 905.95, 1,350.80 and 889.55

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Solution

The fourth proportional to 905.95, 1,350.80 and 889.55 is: 1,326.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.95 : 1,350.80 = 889.55 : x
  2. Step 2: Convert to fraction form
    905.95/1,350.80 = 889.55/x
  3. Step 3: Cross multiply
    905.95x = 1,350.80 × 889.55
  4. Step 4: Simplify right side
    905.95x = 1,201,604.14
  5. Step 5: Solve for x
    x = 1,201,604.14/905.95
  6. Step 6: Final answer
    x = 1,326.35

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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.