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Finding the Fourth Proportional to 51.74, 77.43 and 44.04

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Solution

The fourth proportional to 51.74, 77.43 and 44.04 is: 65.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.74 : 77.43 = 44.04 : x
  2. Step 2: Convert to fraction form
    51.74/77.43 = 44.04/x
  3. Step 3: Cross multiply
    51.74x = 77.43 × 44.04
  4. Step 4: Simplify right side
    51.74x = 3,410.02
  5. Step 5: Solve for x
    x = 3,410.02/51.74
  6. Step 6: Final answer
    x = 65.91

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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.