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Finding the Fourth Proportional to 447.08, 666.66 and 417.29

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Solution

The fourth proportional to 447.08, 666.66 and 417.29 is: 622.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.08 : 666.66 = 417.29 : x
  2. Step 2: Convert to fraction form
    447.08/666.66 = 417.29/x
  3. Step 3: Cross multiply
    447.08x = 666.66 × 417.29
  4. Step 4: Simplify right side
    447.08x = 278,188.46
  5. Step 5: Solve for x
    x = 278,188.46/447.08
  6. Step 6: Final answer
    x = 622.23

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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.