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Finding the Fourth Proportional to 418.80, 581.82 and 414.80

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Solution

The fourth proportional to 418.80, 581.82 and 414.80 is: 576.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.80 : 581.82 = 414.80 : x
  2. Step 2: Convert to fraction form
    418.80/581.82 = 414.80/x
  3. Step 3: Cross multiply
    418.80x = 581.82 × 414.80
  4. Step 4: Simplify right side
    418.80x = 241,338.94
  5. Step 5: Solve for x
    x = 241,338.94/418.80
  6. Step 6: Final answer
    x = 576.26

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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.