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Finding the Fourth Proportional to 968.23, 1,338.74 and 845.21

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Solution

The fourth proportional to 968.23, 1,338.74 and 845.21 is: 1,168.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    968.23 : 1,338.74 = 845.21 : x
  2. Step 2: Convert to fraction form
    968.23/1,338.74 = 845.21/x
  3. Step 3: Cross multiply
    968.23x = 1,338.74 × 845.21
  4. Step 4: Simplify right side
    968.23x = 1,131,518.55
  5. Step 5: Solve for x
    x = 1,131,518.55/968.23
  6. Step 6: Final answer
    x = 1,168.65

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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.