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Finding the Fourth Proportional to 1,383.98, 2,076.39 and 410.09

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Solution

The fourth proportional to 1,383.98, 2,076.39 and 410.09 is: 615.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,383.98 : 2,076.39 = 410.09 : x
  2. Step 2: Convert to fraction form
    1,383.98/2,076.39 = 410.09/x
  3. Step 3: Cross multiply
    1,383.98x = 2,076.39 × 410.09
  4. Step 4: Simplify right side
    1,383.98x = 851,506.78
  5. Step 5: Solve for x
    x = 851,506.78/1,383.98
  6. Step 6: Final answer
    x = 615.26

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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.