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Finding the Fourth Proportional to 411.84, 617.58 and 343.80

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Solution

The fourth proportional to 411.84, 617.58 and 343.80 is: 515.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.84 : 617.58 = 343.80 : x
  2. Step 2: Convert to fraction form
    411.84/617.58 = 343.80/x
  3. Step 3: Cross multiply
    411.84x = 617.58 × 343.80
  4. Step 4: Simplify right side
    411.84x = 212,324.00
  5. Step 5: Solve for x
    x = 212,324.00/411.84
  6. Step 6: Final answer
    x = 515.55

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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.