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Finding the Fourth Proportional to 471.89, 648.69 and 421.57

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Solution

The fourth proportional to 471.89, 648.69 and 421.57 is: 579.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.89 : 648.69 = 421.57 : x
  2. Step 2: Convert to fraction form
    471.89/648.69 = 421.57/x
  3. Step 3: Cross multiply
    471.89x = 648.69 × 421.57
  4. Step 4: Simplify right side
    471.89x = 273,462.89
  5. Step 5: Solve for x
    x = 273,462.89/471.89
  6. Step 6: Final answer
    x = 579.51

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.