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Finding the Fourth Proportional to 605.25, 906.97 and 345.11

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Solution

The fourth proportional to 605.25, 906.97 and 345.11 is: 517.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.25 : 906.97 = 345.11 : x
  2. Step 2: Convert to fraction form
    605.25/906.97 = 345.11/x
  3. Step 3: Cross multiply
    605.25x = 906.97 × 345.11
  4. Step 4: Simplify right side
    605.25x = 313,007.12
  5. Step 5: Solve for x
    x = 313,007.12/605.25
  6. Step 6: Final answer
    x = 517.16

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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.