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Finding the Fourth Proportional to 411.73, 617.89 and 309.21

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Solution

The fourth proportional to 411.73, 617.89 and 309.21 is: 464.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.73 : 617.89 = 309.21 : x
  2. Step 2: Convert to fraction form
    411.73/617.89 = 309.21/x
  3. Step 3: Cross multiply
    411.73x = 617.89 × 309.21
  4. Step 4: Simplify right side
    411.73x = 191,056.99
  5. Step 5: Solve for x
    x = 191,056.99/411.73
  6. Step 6: Final answer
    x = 464.04

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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.