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Finding the Fourth Proportional to 418.70, 622.75 and 410.49

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Solution

The fourth proportional to 418.70, 622.75 and 410.49 is: 610.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.70 : 622.75 = 410.49 : x
  2. Step 2: Convert to fraction form
    418.70/622.75 = 410.49/x
  3. Step 3: Cross multiply
    418.70x = 622.75 × 410.49
  4. Step 4: Simplify right side
    418.70x = 255,631.62
  5. Step 5: Solve for x
    x = 255,631.62/418.70
  6. Step 6: Final answer
    x = 610.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.