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Finding the Fourth Proportional to 453.72, 675.27 and 449.28

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Solution

The fourth proportional to 453.72, 675.27 and 449.28 is: 668.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.72 : 675.27 = 449.28 : x
  2. Step 2: Convert to fraction form
    453.72/675.27 = 449.28/x
  3. Step 3: Cross multiply
    453.72x = 675.27 × 449.28
  4. Step 4: Simplify right side
    453.72x = 303,385.31
  5. Step 5: Solve for x
    x = 303,385.31/453.72
  6. Step 6: Final answer
    x = 668.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.