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Finding the Fourth Proportional to 778.54, 1,072.64 and 716.54

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Solution

The fourth proportional to 778.54, 1,072.64 and 716.54 is: 987.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    778.54 : 1,072.64 = 716.54 : x
  2. Step 2: Convert to fraction form
    778.54/1,072.64 = 716.54/x
  3. Step 3: Cross multiply
    778.54x = 1,072.64 × 716.54
  4. Step 4: Simplify right side
    778.54x = 768,589.47
  5. Step 5: Solve for x
    x = 768,589.47/778.54
  6. Step 6: Final answer
    x = 987.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.