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Finding the Fourth Proportional to 609.41, 914.56 and 404.42

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Solution

The fourth proportional to 609.41, 914.56 and 404.42 is: 606.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    609.41 : 914.56 = 404.42 : x
  2. Step 2: Convert to fraction form
    609.41/914.56 = 404.42/x
  3. Step 3: Cross multiply
    609.41x = 914.56 × 404.42
  4. Step 4: Simplify right side
    609.41x = 369,860.77
  5. Step 5: Solve for x
    x = 369,860.77/609.41
  6. Step 6: Final answer
    x = 606.91

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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.