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Finding the Fourth Proportional to 418.67, 625.42 and 411.38

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Solution

The fourth proportional to 418.67, 625.42 and 411.38 is: 614.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.67 : 625.42 = 411.38 : x
  2. Step 2: Convert to fraction form
    418.67/625.42 = 411.38/x
  3. Step 3: Cross multiply
    418.67x = 625.42 × 411.38
  4. Step 4: Simplify right side
    418.67x = 257,285.01
  5. Step 5: Solve for x
    x = 257,285.01/418.67
  6. Step 6: Final answer
    x = 614.53

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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.