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Finding the Fourth Proportional to 411.75, 613.22 and 397.39

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Solution

The fourth proportional to 411.75, 613.22 and 397.39 is: 591.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.75 : 613.22 = 397.39 : x
  2. Step 2: Convert to fraction form
    411.75/613.22 = 397.39/x
  3. Step 3: Cross multiply
    411.75x = 613.22 × 397.39
  4. Step 4: Simplify right side
    411.75x = 243,687.50
  5. Step 5: Solve for x
    x = 243,687.50/411.75
  6. Step 6: Final answer
    x = 591.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.