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Finding the Fourth Proportional to 609.78, 913.88 and 284.43

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Solution

The fourth proportional to 609.78, 913.88 and 284.43 is: 426.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.78 : 913.88 = 284.43 : x
  2. Step 2: Convert to fraction form
    609.78/913.88 = 284.43/x
  3. Step 3: Cross multiply
    609.78x = 913.88 × 284.43
  4. Step 4: Simplify right side
    609.78x = 259,933.47
  5. Step 5: Solve for x
    x = 259,933.47/609.78
  6. Step 6: Final answer
    x = 426.27

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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.