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Finding the Fourth Proportional to 1,418.93, 2,128.22 and 379.00

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Solution

The fourth proportional to 1,418.93, 2,128.22 and 379.00 is: 568.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.93 : 2,128.22 = 379.00 : x
  2. Step 2: Convert to fraction form
    1,418.93/2,128.22 = 379.00/x
  3. Step 3: Cross multiply
    1,418.93x = 2,128.22 × 379.00
  4. Step 4: Simplify right side
    1,418.93x = 806,587.73
  5. Step 5: Solve for x
    x = 806,587.73/1,418.93
  6. Step 6: Final answer
    x = 568.45

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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.