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Finding the Fourth Proportional to 447.08, 666.83 and 421.35

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Solution

The fourth proportional to 447.08, 666.83 and 421.35 is: 628.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.08 : 666.83 = 421.35 : x
  2. Step 2: Convert to fraction form
    447.08/666.83 = 421.35/x
  3. Step 3: Cross multiply
    447.08x = 666.83 × 421.35
  4. Step 4: Simplify right side
    447.08x = 280,969.87
  5. Step 5: Solve for x
    x = 280,969.87/447.08
  6. Step 6: Final answer
    x = 628.46

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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.