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Finding the Fourth Proportional to 472.62, 648.42 and 461.82

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Solution

The fourth proportional to 472.62, 648.42 and 461.82 is: 633.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.62 : 648.42 = 461.82 : x
  2. Step 2: Convert to fraction form
    472.62/648.42 = 461.82/x
  3. Step 3: Cross multiply
    472.62x = 648.42 × 461.82
  4. Step 4: Simplify right side
    472.62x = 299,453.32
  5. Step 5: Solve for x
    x = 299,453.32/472.62
  6. Step 6: Final answer
    x = 633.60

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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.