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Finding the Fourth Proportional to 56.72, 77.73 and 54.83

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Solution

The fourth proportional to 56.72, 77.73 and 54.83 is: 75.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.72 : 77.73 = 54.83 : x
  2. Step 2: Convert to fraction form
    56.72/77.73 = 54.83/x
  3. Step 3: Cross multiply
    56.72x = 77.73 × 54.83
  4. Step 4: Simplify right side
    56.72x = 4,261.66
  5. Step 5: Solve for x
    x = 4,261.66/56.72
  6. Step 6: Final answer
    x = 75.14

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.