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Finding the Fourth Proportional to 1,255.36, 1,884.19 and 639.50

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Solution

The fourth proportional to 1,255.36, 1,884.19 and 639.50 is: 959.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,255.36 : 1,884.19 = 639.50 : x
  2. Step 2: Convert to fraction form
    1,255.36/1,884.19 = 639.50/x
  3. Step 3: Cross multiply
    1,255.36x = 1,884.19 × 639.50
  4. Step 4: Simplify right side
    1,255.36x = 1,204,939.51
  5. Step 5: Solve for x
    x = 1,204,939.51/1,255.36
  6. Step 6: Final answer
    x = 959.84

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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.