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Finding the Fourth Proportional to 50.85, 76.65 and 45.63

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Solution

The fourth proportional to 50.85, 76.65 and 45.63 is: 68.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.85 : 76.65 = 45.63 : x
  2. Step 2: Convert to fraction form
    50.85/76.65 = 45.63/x
  3. Step 3: Cross multiply
    50.85x = 76.65 × 45.63
  4. Step 4: Simplify right side
    50.85x = 3,497.54
  5. Step 5: Solve for x
    x = 3,497.54/50.85
  6. Step 6: Final answer
    x = 68.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.