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Finding the Fourth Proportional to 471.25, 654.85 and 466.21

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Solution

The fourth proportional to 471.25, 654.85 and 466.21 is: 647.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    471.25 : 654.85 = 466.21 : x
  2. Step 2: Convert to fraction form
    471.25/654.85 = 466.21/x
  3. Step 3: Cross multiply
    471.25x = 654.85 × 466.21
  4. Step 4: Simplify right side
    471.25x = 305,297.62
  5. Step 5: Solve for x
    x = 305,297.62/471.25
  6. Step 6: Final answer
    x = 647.85

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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.