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Finding the Fourth Proportional to 46.63, 63.97 and 45.43

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Solution

The fourth proportional to 46.63, 63.97 and 45.43 is: 62.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.63 : 63.97 = 45.43 : x
  2. Step 2: Convert to fraction form
    46.63/63.97 = 45.43/x
  3. Step 3: Cross multiply
    46.63x = 63.97 × 45.43
  4. Step 4: Simplify right side
    46.63x = 2,906.16
  5. Step 5: Solve for x
    x = 2,906.16/46.63
  6. Step 6: Final answer
    x = 62.33

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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.