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Finding the Fourth Proportional to 404.62, 605.93 and 317.73

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Solution

The fourth proportional to 404.62, 605.93 and 317.73 is: 475.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.62 : 605.93 = 317.73 : x
  2. Step 2: Convert to fraction form
    404.62/605.93 = 317.73/x
  3. Step 3: Cross multiply
    404.62x = 605.93 × 317.73
  4. Step 4: Simplify right side
    404.62x = 192,525.23
  5. Step 5: Solve for x
    x = 192,525.23/404.62
  6. Step 6: Final answer
    x = 475.82

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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.