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Finding the Fourth Proportional to 447.12, 666.36 and 431.46

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Solution

The fourth proportional to 447.12, 666.36 and 431.46 is: 643.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.12 : 666.36 = 431.46 : x
  2. Step 2: Convert to fraction form
    447.12/666.36 = 431.46/x
  3. Step 3: Cross multiply
    447.12x = 666.36 × 431.46
  4. Step 4: Simplify right side
    447.12x = 287,507.69
  5. Step 5: Solve for x
    x = 287,507.69/447.12
  6. Step 6: Final answer
    x = 643.02

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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.