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Finding the Fourth Proportional to 471.33, 648.90 and 360.09

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Solution

The fourth proportional to 471.33, 648.90 and 360.09 is: 495.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.33 : 648.90 = 360.09 : x
  2. Step 2: Convert to fraction form
    471.33/648.90 = 360.09/x
  3. Step 3: Cross multiply
    471.33x = 648.90 × 360.09
  4. Step 4: Simplify right side
    471.33x = 233,662.40
  5. Step 5: Solve for x
    x = 233,662.40/471.33
  6. Step 6: Final answer
    x = 495.75

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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.