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Finding the Fourth Proportional to 514.56, 775.56 and 443.28

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Solution

The fourth proportional to 514.56, 775.56 and 443.28 is: 668.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.56 : 775.56 = 443.28 : x
  2. Step 2: Convert to fraction form
    514.56/775.56 = 443.28/x
  3. Step 3: Cross multiply
    514.56x = 775.56 × 443.28
  4. Step 4: Simplify right side
    514.56x = 343,790.24
  5. Step 5: Solve for x
    x = 343,790.24/514.56
  6. Step 6: Final answer
    x = 668.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.