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Finding the Fourth Proportional to 447.06, 666.20 and 432.38

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Solution

The fourth proportional to 447.06, 666.20 and 432.38 is: 644.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.06 : 666.20 = 432.38 : x
  2. Step 2: Convert to fraction form
    447.06/666.20 = 432.38/x
  3. Step 3: Cross multiply
    447.06x = 666.20 × 432.38
  4. Step 4: Simplify right side
    447.06x = 288,051.56
  5. Step 5: Solve for x
    x = 288,051.56/447.06
  6. Step 6: Final answer
    x = 644.32

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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.