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Finding the Fourth Proportional to 606.65, 910.53 and 333.02

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Solution

The fourth proportional to 606.65, 910.53 and 333.02 is: 499.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    606.65 : 910.53 = 333.02 : x
  2. Step 2: Convert to fraction form
    606.65/910.53 = 333.02/x
  3. Step 3: Cross multiply
    606.65x = 910.53 × 333.02
  4. Step 4: Simplify right side
    606.65x = 303,224.70
  5. Step 5: Solve for x
    x = 303,224.70/606.65
  6. Step 6: Final answer
    x = 499.83

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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.