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Finding the Fourth Proportional to 983.88, 1,357.44 and 949.80

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Solution

The fourth proportional to 983.88, 1,357.44 and 949.80 is: 1,310.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.88 : 1,357.44 = 949.80 : x
  2. Step 2: Convert to fraction form
    983.88/1,357.44 = 949.80/x
  3. Step 3: Cross multiply
    983.88x = 1,357.44 × 949.80
  4. Step 4: Simplify right side
    983.88x = 1,289,296.51
  5. Step 5: Solve for x
    x = 1,289,296.51/983.88
  6. Step 6: Final answer
    x = 1,310.42

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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.