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Finding the Fourth Proportional to 433.91, 646.12 and 418.34

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Solution

The fourth proportional to 433.91, 646.12 and 418.34 is: 622.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.91 : 646.12 = 418.34 : x
  2. Step 2: Convert to fraction form
    433.91/646.12 = 418.34/x
  3. Step 3: Cross multiply
    433.91x = 646.12 × 418.34
  4. Step 4: Simplify right side
    433.91x = 270,297.84
  5. Step 5: Solve for x
    x = 270,297.84/433.91
  6. Step 6: Final answer
    x = 622.94

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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.