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Finding the Fourth Proportional to 56.75, 77.80 and 55.23

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Solution

The fourth proportional to 56.75, 77.80 and 55.23 is: 75.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.75 : 77.80 = 55.23 : x
  2. Step 2: Convert to fraction form
    56.75/77.80 = 55.23/x
  3. Step 3: Cross multiply
    56.75x = 77.80 × 55.23
  4. Step 4: Simplify right side
    56.75x = 4,296.51
  5. Step 5: Solve for x
    x = 4,296.51/56.75
  6. Step 6: Final answer
    x = 75.72

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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.