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Finding the Fourth Proportional to 1,418.91, 2,128.53 and 378.96

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Solution

The fourth proportional to 1,418.91, 2,128.53 and 378.96 is: 568.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.91 : 2,128.53 = 378.96 : x
  2. Step 2: Convert to fraction form
    1,418.91/2,128.53 = 378.96/x
  3. Step 3: Cross multiply
    1,418.91x = 2,128.53 × 378.96
  4. Step 4: Simplify right side
    1,418.91x = 806,627.73
  5. Step 5: Solve for x
    x = 806,627.73/1,418.91
  6. Step 6: Final answer
    x = 568.48

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1.5x scale

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.