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Finding the Fourth Proportional to 404.89, 605.95 and 282.63

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Solution

The fourth proportional to 404.89, 605.95 and 282.63 is: 422.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    404.89 : 605.95 = 282.63 : x
  2. Step 2: Convert to fraction form
    404.89/605.95 = 282.63/x
  3. Step 3: Cross multiply
    404.89x = 605.95 × 282.63
  4. Step 4: Simplify right side
    404.89x = 171,259.65
  5. Step 5: Solve for x
    x = 171,259.65/404.89
  6. Step 6: Final answer
    x = 422.98

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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.