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Finding the Fourth Proportional to 949.44, 1,310.85 and 849.54

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Solution

The fourth proportional to 949.44, 1,310.85 and 849.54 is: 1,172.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    949.44 : 1,310.85 = 849.54 : x
  2. Step 2: Convert to fraction form
    949.44/1,310.85 = 849.54/x
  3. Step 3: Cross multiply
    949.44x = 1,310.85 × 849.54
  4. Step 4: Simplify right side
    949.44x = 1,113,619.51
  5. Step 5: Solve for x
    x = 1,113,619.51/949.44
  6. Step 6: Final answer
    x = 1,172.92

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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.