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Finding the Fourth Proportional to 906.40, 1,367.64 and 893.60

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Solution

The fourth proportional to 906.40, 1,367.64 and 893.60 is: 1,348.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.40 : 1,367.64 = 893.60 : x
  2. Step 2: Convert to fraction form
    906.40/1,367.64 = 893.60/x
  3. Step 3: Cross multiply
    906.40x = 1,367.64 × 893.60
  4. Step 4: Simplify right side
    906.40x = 1,222,123.10
  5. Step 5: Solve for x
    x = 1,222,123.10/906.40
  6. Step 6: Final answer
    x = 1,348.33

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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.