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Finding the Fourth Proportional to 435.49, 648.97 and 423.61

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Solution

The fourth proportional to 435.49, 648.97 and 423.61 is: 631.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    435.49 : 648.97 = 423.61 : x
  2. Step 2: Convert to fraction form
    435.49/648.97 = 423.61/x
  3. Step 3: Cross multiply
    435.49x = 648.97 × 423.61
  4. Step 4: Simplify right side
    435.49x = 274,910.18
  5. Step 5: Solve for x
    x = 274,910.18/435.49
  6. Step 6: Final answer
    x = 631.27

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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.