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Finding the Fourth Proportional to 418.83, 576.36 and 409.65

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Solution

The fourth proportional to 418.83, 576.36 and 409.65 is: 563.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.83 : 576.36 = 409.65 : x
  2. Step 2: Convert to fraction form
    418.83/576.36 = 409.65/x
  3. Step 3: Cross multiply
    418.83x = 576.36 × 409.65
  4. Step 4: Simplify right side
    418.83x = 236,105.87
  5. Step 5: Solve for x
    x = 236,105.87/418.83
  6. Step 6: Final answer
    x = 563.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.