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Finding the Fourth Proportional to 584.64, 806.49 and 418.97

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Solution

The fourth proportional to 584.64, 806.49 and 418.97 is: 577.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    584.64 : 806.49 = 418.97 : x
  2. Step 2: Convert to fraction form
    584.64/806.49 = 418.97/x
  3. Step 3: Cross multiply
    584.64x = 806.49 × 418.97
  4. Step 4: Simplify right side
    584.64x = 337,891.08
  5. Step 5: Solve for x
    x = 337,891.08/584.64
  6. Step 6: Final answer
    x = 577.95

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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.