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Finding the Fourth Proportional to 432.99, 648.81 and 387.09

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Solution

The fourth proportional to 432.99, 648.81 and 387.09 is: 580.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.99 : 648.81 = 387.09 : x
  2. Step 2: Convert to fraction form
    432.99/648.81 = 387.09/x
  3. Step 3: Cross multiply
    432.99x = 648.81 × 387.09
  4. Step 4: Simplify right side
    432.99x = 251,147.86
  5. Step 5: Solve for x
    x = 251,147.86/432.99
  6. Step 6: Final answer
    x = 580.03

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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.