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Finding the Fourth Proportional to 432.63, 648.99 and 124.49

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Solution

The fourth proportional to 432.63, 648.99 and 124.49 is: 186.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.63 : 648.99 = 124.49 : x
  2. Step 2: Convert to fraction form
    432.63/648.99 = 124.49/x
  3. Step 3: Cross multiply
    432.63x = 648.99 × 124.49
  4. Step 4: Simplify right side
    432.63x = 80,794.39
  5. Step 5: Solve for x
    x = 80,794.39/432.63
  6. Step 6: Final answer
    x = 186.75

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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.