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Finding the Fourth Proportional to 605.06, 906.86 and 345.28

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Solution

The fourth proportional to 605.06, 906.86 and 345.28 is: 517.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.06 : 906.86 = 345.28 : x
  2. Step 2: Convert to fraction form
    605.06/906.86 = 345.28/x
  3. Step 3: Cross multiply
    605.06x = 906.86 × 345.28
  4. Step 4: Simplify right side
    605.06x = 313,120.62
  5. Step 5: Solve for x
    x = 313,120.62/605.06
  6. Step 6: Final answer
    x = 517.50

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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.