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Finding the Fourth Proportional to 662.57, 993.14 and 419.23

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Solution

The fourth proportional to 662.57, 993.14 and 419.23 is: 628.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.57 : 993.14 = 419.23 : x
  2. Step 2: Convert to fraction form
    662.57/993.14 = 419.23/x
  3. Step 3: Cross multiply
    662.57x = 993.14 × 419.23
  4. Step 4: Simplify right side
    662.57x = 416,354.08
  5. Step 5: Solve for x
    x = 416,354.08/662.57
  6. Step 6: Final answer
    x = 628.39

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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.