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Finding the Fourth Proportional to 605.03, 834.21 and 418.68

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Solution

The fourth proportional to 605.03, 834.21 and 418.68 is: 577.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.03 : 834.21 = 418.68 : x
  2. Step 2: Convert to fraction form
    605.03/834.21 = 418.68/x
  3. Step 3: Cross multiply
    605.03x = 834.21 × 418.68
  4. Step 4: Simplify right side
    605.03x = 349,267.04
  5. Step 5: Solve for x
    x = 349,267.04/605.03
  6. Step 6: Final answer
    x = 577.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.