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Finding the Fourth Proportional to 605.66, 834.68 and 418.82

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Solution

The fourth proportional to 605.66, 834.68 and 418.82 is: 577.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.66 : 834.68 = 418.82 : x
  2. Step 2: Convert to fraction form
    605.66/834.68 = 418.82/x
  3. Step 3: Cross multiply
    605.66x = 834.68 × 418.82
  4. Step 4: Simplify right side
    605.66x = 349,574.41
  5. Step 5: Solve for x
    x = 349,574.41/605.66
  6. Step 6: Final answer
    x = 577.18

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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.