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Finding the Fourth Proportional to 75.79, 104.64 and 54.91

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Solution

The fourth proportional to 75.79, 104.64 and 54.91 is: 75.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.79 : 104.64 = 54.91 : x
  2. Step 2: Convert to fraction form
    75.79/104.64 = 54.91/x
  3. Step 3: Cross multiply
    75.79x = 104.64 × 54.91
  4. Step 4: Simplify right side
    75.79x = 5,745.78
  5. Step 5: Solve for x
    x = 5,745.78/75.79
  6. Step 6: Final answer
    x = 75.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.