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Finding the Fourth Proportional to 432.09, 650.84 and 393.80

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Solution

The fourth proportional to 432.09, 650.84 and 393.80 is: 593.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.09 : 650.84 = 393.80 : x
  2. Step 2: Convert to fraction form
    432.09/650.84 = 393.80/x
  3. Step 3: Cross multiply
    432.09x = 650.84 × 393.80
  4. Step 4: Simplify right side
    432.09x = 256,295.57
  5. Step 5: Solve for x
    x = 256,295.57/432.09
  6. Step 6: Final answer
    x = 593.15

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.