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Finding the Fourth Proportional to 1,258.21, 1,884.54 and 769.78

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Solution

The fourth proportional to 1,258.21, 1,884.54 and 769.78 is: 1,152.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,258.21 : 1,884.54 = 769.78 : x
  2. Step 2: Convert to fraction form
    1,258.21/1,884.54 = 769.78/x
  3. Step 3: Cross multiply
    1,258.21x = 1,884.54 × 769.78
  4. Step 4: Simplify right side
    1,258.21x = 1,450,671.78
  5. Step 5: Solve for x
    x = 1,450,671.78/1,258.21
  6. Step 6: Final answer
    x = 1,152.97

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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.