Home / 1,149.40-1,583.41-949.37

Finding the Fourth Proportional to 1,149.40, 1,583.41 and 949.37

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Solution

The fourth proportional to 1,149.40, 1,583.41 and 949.37 is: 1,307.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149.40 : 1,583.41 = 949.37 : x
  2. Step 2: Convert to fraction form
    1,149.40/1,583.41 = 949.37/x
  3. Step 3: Cross multiply
    1,149.40x = 1,583.41 × 949.37
  4. Step 4: Simplify right side
    1,149.40x = 1,503,237.20
  5. Step 5: Solve for x
    x = 1,503,237.20/1,149.40
  6. Step 6: Final answer
    x = 1,307.85

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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.