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Finding the Fourth Proportional to 606.50, 910.67 and 299.41

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Solution

The fourth proportional to 606.50, 910.67 and 299.41 is: 449.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.50 : 910.67 = 299.41 : x
  2. Step 2: Convert to fraction form
    606.50/910.67 = 299.41/x
  3. Step 3: Cross multiply
    606.50x = 910.67 × 299.41
  4. Step 4: Simplify right side
    606.50x = 272,659.93
  5. Step 5: Solve for x
    x = 272,659.93/606.50
  6. Step 6: Final answer
    x = 449.56

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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.