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Finding the Fourth Proportional to 1,258.76, 1,884.66 and 949.66

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Solution

The fourth proportional to 1,258.76, 1,884.66 and 949.66 is: 1,421.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.76 : 1,884.66 = 949.66 : x
  2. Step 2: Convert to fraction form
    1,258.76/1,884.66 = 949.66/x
  3. Step 3: Cross multiply
    1,258.76x = 1,884.66 × 949.66
  4. Step 4: Simplify right side
    1,258.76x = 1,789,786.22
  5. Step 5: Solve for x
    x = 1,789,786.22/1,258.76
  6. Step 6: Final answer
    x = 1,421.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.