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Finding the Fourth Proportional to 451.28, 672.41 and 431.38

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Solution

The fourth proportional to 451.28, 672.41 and 431.38 is: 642.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.28 : 672.41 = 431.38 : x
  2. Step 2: Convert to fraction form
    451.28/672.41 = 431.38/x
  3. Step 3: Cross multiply
    451.28x = 672.41 × 431.38
  4. Step 4: Simplify right side
    451.28x = 290,059.94
  5. Step 5: Solve for x
    x = 290,059.94/451.28
  6. Step 6: Final answer
    x = 642.75

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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.