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Finding the Fourth Proportional to 431.14, 642.38 and 426.82

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Solution

The fourth proportional to 431.14, 642.38 and 426.82 is: 635.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    431.14 : 642.38 = 426.82 : x
  2. Step 2: Convert to fraction form
    431.14/642.38 = 426.82/x
  3. Step 3: Cross multiply
    431.14x = 642.38 × 426.82
  4. Step 4: Simplify right side
    431.14x = 274,181.17
  5. Step 5: Solve for x
    x = 274,181.17/431.14
  6. Step 6: Final answer
    x = 635.94

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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.