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Finding the Fourth Proportional to 648.12, 894.51 and 449.27

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Solution

The fourth proportional to 648.12, 894.51 and 449.27 is: 620.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.12 : 894.51 = 449.27 : x
  2. Step 2: Convert to fraction form
    648.12/894.51 = 449.27/x
  3. Step 3: Cross multiply
    648.12x = 894.51 × 449.27
  4. Step 4: Simplify right side
    648.12x = 401,876.51
  5. Step 5: Solve for x
    x = 401,876.51/648.12
  6. Step 6: Final answer
    x = 620.06

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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.