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Finding the Fourth Proportional to 605.10, 906.49 and 399.05

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Solution

The fourth proportional to 605.10, 906.49 and 399.05 is: 597.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.10 : 906.49 = 399.05 : x
  2. Step 2: Convert to fraction form
    605.10/906.49 = 399.05/x
  3. Step 3: Cross multiply
    605.10x = 906.49 × 399.05
  4. Step 4: Simplify right side
    605.10x = 361,736.75
  5. Step 5: Solve for x
    x = 361,736.75/605.10
  6. Step 6: Final answer
    x = 597.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.