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Finding the Fourth Proportional to 605.05, 906.90 and 279.75

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Solution

The fourth proportional to 605.05, 906.90 and 279.75 is: 419.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.05 : 906.90 = 279.75 : x
  2. Step 2: Convert to fraction form
    605.05/906.90 = 279.75/x
  3. Step 3: Cross multiply
    605.05x = 906.90 × 279.75
  4. Step 4: Simplify right side
    605.05x = 253,705.28
  5. Step 5: Solve for x
    x = 253,705.28/605.05
  6. Step 6: Final answer
    x = 419.31

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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.