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Finding the Fourth Proportional to 416.80, 579.04 and 412.80

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Solution

The fourth proportional to 416.80, 579.04 and 412.80 is: 573.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.80 : 579.04 = 412.80 : x
  2. Step 2: Convert to fraction form
    416.80/579.04 = 412.80/x
  3. Step 3: Cross multiply
    416.80x = 579.04 × 412.80
  4. Step 4: Simplify right side
    416.80x = 239,027.71
  5. Step 5: Solve for x
    x = 239,027.71/416.80
  6. Step 6: Final answer
    x = 573.48

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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.