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Finding the Fourth Proportional to 457.44, 682.12 and 453.32

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Solution

The fourth proportional to 457.44, 682.12 and 453.32 is: 675.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    457.44 : 682.12 = 453.32 : x
  2. Step 2: Convert to fraction form
    457.44/682.12 = 453.32/x
  3. Step 3: Cross multiply
    457.44x = 682.12 × 453.32
  4. Step 4: Simplify right side
    457.44x = 309,218.64
  5. Step 5: Solve for x
    x = 309,218.64/457.44
  6. Step 6: Final answer
    x = 675.98

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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.