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Finding the Fourth Proportional to 778.44, 1,172.60 and 712.04

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Solution

The fourth proportional to 778.44, 1,172.60 and 712.04 is: 1,072.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.44 : 1,172.60 = 712.04 : x
  2. Step 2: Convert to fraction form
    778.44/1,172.60 = 712.04/x
  3. Step 3: Cross multiply
    778.44x = 1,172.60 × 712.04
  4. Step 4: Simplify right side
    778.44x = 834,938.10
  5. Step 5: Solve for x
    x = 834,938.10/778.44
  6. Step 6: Final answer
    x = 1,072.58

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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.