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Finding the Fourth Proportional to 418.37, 623.97 and 396.50

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Solution

The fourth proportional to 418.37, 623.97 and 396.50 is: 591.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    418.37 : 623.97 = 396.50 : x
  2. Step 2: Convert to fraction form
    418.37/623.97 = 396.50/x
  3. Step 3: Cross multiply
    418.37x = 623.97 × 396.50
  4. Step 4: Simplify right side
    418.37x = 247,400.99
  5. Step 5: Solve for x
    x = 247,400.99/418.37
  6. Step 6: Final answer
    x = 591.35

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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.