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Finding the Fourth Proportional to 69.79, 104.46 and 57.64

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Solution

The fourth proportional to 69.79, 104.46 and 57.64 is: 86.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    69.79 : 104.46 = 57.64 : x
  2. Step 2: Convert to fraction form
    69.79/104.46 = 57.64/x
  3. Step 3: Cross multiply
    69.79x = 104.46 × 57.64
  4. Step 4: Simplify right side
    69.79x = 6,021.07
  5. Step 5: Solve for x
    x = 6,021.07/69.79
  6. Step 6: Final answer
    x = 86.27

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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.