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Finding the Fourth Proportional to 906.85, 1,243.44 and 884.98

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Solution

The fourth proportional to 906.85, 1,243.44 and 884.98 is: 1,213.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.85 : 1,243.44 = 884.98 : x
  2. Step 2: Convert to fraction form
    906.85/1,243.44 = 884.98/x
  3. Step 3: Cross multiply
    906.85x = 1,243.44 × 884.98
  4. Step 4: Simplify right side
    906.85x = 1,100,419.53
  5. Step 5: Solve for x
    x = 1,100,419.53/906.85
  6. Step 6: Final answer
    x = 1,213.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.