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Finding the Fourth Proportional to 427.84, 642 and 403.36

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Solution

The fourth proportional to 427.84, 642 and 403.36 is: 605.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    427.84 : 642 = 403.36 : x
  2. Step 2: Convert to fraction form
    427.84/642 = 403.36/x
  3. Step 3: Cross multiply
    427.84x = 642 × 403.36
  4. Step 4: Simplify right side
    427.84x = 258,957.12
  5. Step 5: Solve for x
    x = 258,957.12/427.84
  6. Step 6: Final answer
    x = 605.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.