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Finding the Fourth Proportional to 432.63, 644.54 and 411.98

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Solution

The fourth proportional to 432.63, 644.54 and 411.98 is: 613.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.63 : 644.54 = 411.98 : x
  2. Step 2: Convert to fraction form
    432.63/644.54 = 411.98/x
  3. Step 3: Cross multiply
    432.63x = 644.54 × 411.98
  4. Step 4: Simplify right side
    432.63x = 265,532.31
  5. Step 5: Solve for x
    x = 265,532.31/432.63
  6. Step 6: Final answer
    x = 613.76

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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.