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Finding the Fourth Proportional to 662.93, 993.87 and 418.94

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Solution

The fourth proportional to 662.93, 993.87 and 418.94 is: 628.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.93 : 993.87 = 418.94 : x
  2. Step 2: Convert to fraction form
    662.93/993.87 = 418.94/x
  3. Step 3: Cross multiply
    662.93x = 993.87 × 418.94
  4. Step 4: Simplify right side
    662.93x = 416,371.90
  5. Step 5: Solve for x
    x = 416,371.90/662.93
  6. Step 6: Final answer
    x = 628.08

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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.