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Finding the Fourth Proportional to 411.90, 617.84 and 275.21

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Solution

The fourth proportional to 411.90, 617.84 and 275.21 is: 412.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.90 : 617.84 = 275.21 : x
  2. Step 2: Convert to fraction form
    411.90/617.84 = 275.21/x
  3. Step 3: Cross multiply
    411.90x = 617.84 × 275.21
  4. Step 4: Simplify right side
    411.90x = 170,035.75
  5. Step 5: Solve for x
    x = 170,035.75/411.90
  6. Step 6: Final answer
    x = 412.81

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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.