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Finding the Fourth Proportional to 51.75, 77.79 and 46.98

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Solution

The fourth proportional to 51.75, 77.79 and 46.98 is: 70.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.75 : 77.79 = 46.98 : x
  2. Step 2: Convert to fraction form
    51.75/77.79 = 46.98/x
  3. Step 3: Cross multiply
    51.75x = 77.79 × 46.98
  4. Step 4: Simplify right side
    51.75x = 3,654.57
  5. Step 5: Solve for x
    x = 3,654.57/51.75
  6. Step 6: Final answer
    x = 70.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.