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Finding the Fourth Proportional to 56.46, 84.60 and 54.57

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Solution

The fourth proportional to 56.46, 84.60 and 54.57 is: 81.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.46 : 84.60 = 54.57 : x
  2. Step 2: Convert to fraction form
    56.46/84.60 = 54.57/x
  3. Step 3: Cross multiply
    56.46x = 84.60 × 54.57
  4. Step 4: Simplify right side
    56.46x = 4,616.62
  5. Step 5: Solve for x
    x = 4,616.62/56.46
  6. Step 6: Final answer
    x = 81.77

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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.