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Finding the Fourth Proportional to 79.57, 109.83 and 54.64

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Solution

The fourth proportional to 79.57, 109.83 and 54.64 is: 75.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    79.57 : 109.83 = 54.64 : x
  2. Step 2: Convert to fraction form
    79.57/109.83 = 54.64/x
  3. Step 3: Cross multiply
    79.57x = 109.83 × 54.64
  4. Step 4: Simplify right side
    79.57x = 6,001.11
  5. Step 5: Solve for x
    x = 6,001.11/79.57
  6. Step 6: Final answer
    x = 75.42

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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.