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Finding the Fourth Proportional to 1,301.83, 1,797.66 and 949.75

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Solution

The fourth proportional to 1,301.83, 1,797.66 and 949.75 is: 1,311.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,301.83 : 1,797.66 = 949.75 : x
  2. Step 2: Convert to fraction form
    1,301.83/1,797.66 = 949.75/x
  3. Step 3: Cross multiply
    1,301.83x = 1,797.66 × 949.75
  4. Step 4: Simplify right side
    1,301.83x = 1,707,323.09
  5. Step 5: Solve for x
    x = 1,707,323.09/1,301.83
  6. Step 6: Final answer
    x = 1,311.48

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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.