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Finding the Fourth Proportional to 662.58, 993.16 and 419.18

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Solution

The fourth proportional to 662.58, 993.16 and 419.18 is: 628.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.58 : 993.16 = 419.18 : x
  2. Step 2: Convert to fraction form
    662.58/993.16 = 419.18/x
  3. Step 3: Cross multiply
    662.58x = 993.16 × 419.18
  4. Step 4: Simplify right side
    662.58x = 416,305.75
  5. Step 5: Solve for x
    x = 416,305.75/662.58
  6. Step 6: Final answer
    x = 628.31

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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.