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Finding the Fourth Proportional to 432.63, 649.85 and 329.55

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Solution

The fourth proportional to 432.63, 649.85 and 329.55 is: 495.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.63 : 649.85 = 329.55 : x
  2. Step 2: Convert to fraction form
    432.63/649.85 = 329.55/x
  3. Step 3: Cross multiply
    432.63x = 649.85 × 329.55
  4. Step 4: Simplify right side
    432.63x = 214,158.07
  5. Step 5: Solve for x
    x = 214,158.07/432.63
  6. Step 6: Final answer
    x = 495.01

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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.