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Finding the Fourth Proportional to 894.36, 1,343.16 and 679.44

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Solution

The fourth proportional to 894.36, 1,343.16 and 679.44 is: 1,020.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.36 : 1,343.16 = 679.44 : x
  2. Step 2: Convert to fraction form
    894.36/1,343.16 = 679.44/x
  3. Step 3: Cross multiply
    894.36x = 1,343.16 × 679.44
  4. Step 4: Simplify right side
    894.36x = 912,596.63
  5. Step 5: Solve for x
    x = 912,596.63/894.36
  6. Step 6: Final answer
    x = 1,020.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.