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Finding the Fourth Proportional to 432.09, 644.79 and 385.94

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Solution

The fourth proportional to 432.09, 644.79 and 385.94 is: 575.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.09 : 644.79 = 385.94 : x
  2. Step 2: Convert to fraction form
    432.09/644.79 = 385.94/x
  3. Step 3: Cross multiply
    432.09x = 644.79 × 385.94
  4. Step 4: Simplify right side
    432.09x = 248,850.25
  5. Step 5: Solve for x
    x = 248,850.25/432.09
  6. Step 6: Final answer
    x = 575.92

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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.