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Finding the Fourth Proportional to 418.64, 573.92 and 411.36

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Solution

The fourth proportional to 418.64, 573.92 and 411.36 is: 563.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.64 : 573.92 = 411.36 : x
  2. Step 2: Convert to fraction form
    418.64/573.92 = 411.36/x
  3. Step 3: Cross multiply
    418.64x = 573.92 × 411.36
  4. Step 4: Simplify right side
    418.64x = 236,087.73
  5. Step 5: Solve for x
    x = 236,087.73/418.64
  6. Step 6: Final answer
    x = 563.94

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.