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Finding the Fourth Proportional to 432.72, 644.22 and 430.56

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Solution

The fourth proportional to 432.72, 644.22 and 430.56 is: 641.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.72 : 644.22 = 430.56 : x
  2. Step 2: Convert to fraction form
    432.72/644.22 = 430.56/x
  3. Step 3: Cross multiply
    432.72x = 644.22 × 430.56
  4. Step 4: Simplify right side
    432.72x = 277,375.36
  5. Step 5: Solve for x
    x = 277,375.36/432.72
  6. Step 6: Final answer
    x = 641.00

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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.