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Finding the Fourth Proportional to 1,371.79, 2,058.05 and 550.09

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Solution

The fourth proportional to 1,371.79, 2,058.05 and 550.09 is: 825.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,371.79 : 2,058.05 = 550.09 : x
  2. Step 2: Convert to fraction form
    1,371.79/2,058.05 = 550.09/x
  3. Step 3: Cross multiply
    1,371.79x = 2,058.05 × 550.09
  4. Step 4: Simplify right side
    1,371.79x = 1,132,112.72
  5. Step 5: Solve for x
    x = 1,132,112.72/1,371.79
  6. Step 6: Final answer
    x = 825.28

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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.