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Finding the Fourth Proportional to 52.09, 77.65 and 50.73

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Solution

The fourth proportional to 52.09, 77.65 and 50.73 is: 75.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    52.09 : 77.65 = 50.73 : x
  2. Step 2: Convert to fraction form
    52.09/77.65 = 50.73/x
  3. Step 3: Cross multiply
    52.09x = 77.65 × 50.73
  4. Step 4: Simplify right side
    52.09x = 3,938.70
  5. Step 5: Solve for x
    x = 3,938.70/52.09
  6. Step 6: Final answer
    x = 75.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.