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Finding the Fourth Proportional to 451.39, 680.31 and 426.27

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Solution

The fourth proportional to 451.39, 680.31 and 426.27 is: 642.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    451.39 : 680.31 = 426.27 : x
  2. Step 2: Convert to fraction form
    451.39/680.31 = 426.27/x
  3. Step 3: Cross multiply
    451.39x = 680.31 × 426.27
  4. Step 4: Simplify right side
    451.39x = 289,995.74
  5. Step 5: Solve for x
    x = 289,995.74/451.39
  6. Step 6: Final answer
    x = 642.45

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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.