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Finding the Fourth Proportional to 433.80, 646.34 and 422.19

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Solution

The fourth proportional to 433.80, 646.34 and 422.19 is: 629.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.80 : 646.34 = 422.19 : x
  2. Step 2: Convert to fraction form
    433.80/646.34 = 422.19/x
  3. Step 3: Cross multiply
    433.80x = 646.34 × 422.19
  4. Step 4: Simplify right side
    433.80x = 272,878.28
  5. Step 5: Solve for x
    x = 272,878.28/433.80
  6. Step 6: Final answer
    x = 629.04

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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.