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Finding the Fourth Proportional to 411.57, 614.39 and 396.18

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Solution

The fourth proportional to 411.57, 614.39 and 396.18 is: 591.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    411.57 : 614.39 = 396.18 : x
  2. Step 2: Convert to fraction form
    411.57/614.39 = 396.18/x
  3. Step 3: Cross multiply
    411.57x = 614.39 × 396.18
  4. Step 4: Simplify right side
    411.57x = 243,407.05
  5. Step 5: Solve for x
    x = 243,407.05/411.57
  6. Step 6: Final answer
    x = 591.41

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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.