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Finding the Fourth Proportional to 416.80, 579.19 and 416.80

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Solution

The fourth proportional to 416.80, 579.19 and 416.80 is: 579.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.80 : 579.19 = 416.80 : x
  2. Step 2: Convert to fraction form
    416.80/579.19 = 416.80/x
  3. Step 3: Cross multiply
    416.80x = 579.19 × 416.80
  4. Step 4: Simplify right side
    416.80x = 241,406.39
  5. Step 5: Solve for x
    x = 241,406.39/416.80
  6. Step 6: Final answer
    x = 579.19

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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.