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Finding the Fourth Proportional to 427.84, 636.64 and 426.40

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Solution

The fourth proportional to 427.84, 636.64 and 426.40 is: 634.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.84 : 636.64 = 426.40 : x
  2. Step 2: Convert to fraction form
    427.84/636.64 = 426.40/x
  3. Step 3: Cross multiply
    427.84x = 636.64 × 426.40
  4. Step 4: Simplify right side
    427.84x = 271,463.30
  5. Step 5: Solve for x
    x = 271,463.30/427.84
  6. Step 6: Final answer
    x = 634.50

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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.