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Finding the Fourth Proportional to 404.70, 605.68 and 282.59

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Solution

The fourth proportional to 404.70, 605.68 and 282.59 is: 422.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.70 : 605.68 = 282.59 : x
  2. Step 2: Convert to fraction form
    404.70/605.68 = 282.59/x
  3. Step 3: Cross multiply
    404.70x = 605.68 × 282.59
  4. Step 4: Simplify right side
    404.70x = 171,157.65
  5. Step 5: Solve for x
    x = 171,157.65/404.70
  6. Step 6: Final answer
    x = 422.93

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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.