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Finding the Fourth Proportional to 56.43, 84.71 and 53.75

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Solution

The fourth proportional to 56.43, 84.71 and 53.75 is: 80.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.43 : 84.71 = 53.75 : x
  2. Step 2: Convert to fraction form
    56.43/84.71 = 53.75/x
  3. Step 3: Cross multiply
    56.43x = 84.71 × 53.75
  4. Step 4: Simplify right side
    56.43x = 4,552.47
  5. Step 5: Solve for x
    x = 4,552.47/56.43
  6. Step 6: Final answer
    x = 80.67

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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.