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Finding the Fourth Proportional to 56.75, 84.77 and 50.68

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Solution

The fourth proportional to 56.75, 84.77 and 50.68 is: 75.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.75 : 84.77 = 50.68 : x
  2. Step 2: Convert to fraction form
    56.75/84.77 = 50.68/x
  3. Step 3: Cross multiply
    56.75x = 84.77 × 50.68
  4. Step 4: Simplify right side
    56.75x = 4,295.68
  5. Step 5: Solve for x
    x = 4,295.68/56.75
  6. Step 6: Final answer
    x = 75.69

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.