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Finding the Fourth Proportional to 56.63, 84.81 and 45.19

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Solution

The fourth proportional to 56.63, 84.81 and 45.19 is: 67.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    56.63 : 84.81 = 45.19 : x
  2. Step 2: Convert to fraction form
    56.63/84.81 = 45.19/x
  3. Step 3: Cross multiply
    56.63x = 84.81 × 45.19
  4. Step 4: Simplify right side
    56.63x = 3,832.14
  5. Step 5: Solve for x
    x = 3,832.14/56.63
  6. Step 6: Final answer
    x = 67.67

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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.