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Finding the Fourth Proportional to 648.09, 893.67 and 482.03

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Solution

The fourth proportional to 648.09, 893.67 and 482.03 is: 664.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.09 : 893.67 = 482.03 : x
  2. Step 2: Convert to fraction form
    648.09/893.67 = 482.03/x
  3. Step 3: Cross multiply
    648.09x = 893.67 × 482.03
  4. Step 4: Simplify right side
    648.09x = 430,775.75
  5. Step 5: Solve for x
    x = 430,775.75/648.09
  6. Step 6: Final answer
    x = 664.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.