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Finding the Fourth Proportional to 967.25, 1,333.76 and 745.71

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Solution

The fourth proportional to 967.25, 1,333.76 and 745.71 is: 1,028.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    967.25 : 1,333.76 = 745.71 : x
  2. Step 2: Convert to fraction form
    967.25/1,333.76 = 745.71/x
  3. Step 3: Cross multiply
    967.25x = 1,333.76 × 745.71
  4. Step 4: Simplify right side
    967.25x = 994,594.44
  5. Step 5: Solve for x
    x = 994,594.44/967.25
  6. Step 6: Final answer
    x = 1,028.28

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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.