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Finding the Fourth Proportional to 416.86, 579.87 and 408.94

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Solution

The fourth proportional to 416.86, 579.87 and 408.94 is: 568.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.86 : 579.87 = 408.94 : x
  2. Step 2: Convert to fraction form
    416.86/579.87 = 408.94/x
  3. Step 3: Cross multiply
    416.86x = 579.87 × 408.94
  4. Step 4: Simplify right side
    416.86x = 237,132.04
  5. Step 5: Solve for x
    x = 237,132.04/416.86
  6. Step 6: Final answer
    x = 568.85

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.