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Finding the Fourth Proportional to 471.89, 655.70 and 466.82

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Solution

The fourth proportional to 471.89, 655.70 and 466.82 is: 648.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.89 : 655.70 = 466.82 : x
  2. Step 2: Convert to fraction form
    471.89/655.70 = 466.82/x
  3. Step 3: Cross multiply
    471.89x = 655.70 × 466.82
  4. Step 4: Simplify right side
    471.89x = 306,093.87
  5. Step 5: Solve for x
    x = 306,093.87/471.89
  6. Step 6: Final answer
    x = 648.66

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.