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Finding the Fourth Proportional to 605.18, 905 and 451.21

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Solution

The fourth proportional to 605.18, 905 and 451.21 is: 674.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    605.18 : 905 = 451.21 : x
  2. Step 2: Convert to fraction form
    605.18/905 = 451.21/x
  3. Step 3: Cross multiply
    605.18x = 905 × 451.21
  4. Step 4: Simplify right side
    605.18x = 408,345.05
  5. Step 5: Solve for x
    x = 408,345.05/605.18
  6. Step 6: Final answer
    x = 674.75

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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.