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Finding the Fourth Proportional to 433.20, 649.14 and 420.02

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Solution

The fourth proportional to 433.20, 649.14 and 420.02 is: 629.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.20 : 649.14 = 420.02 : x
  2. Step 2: Convert to fraction form
    433.20/649.14 = 420.02/x
  3. Step 3: Cross multiply
    433.20x = 649.14 × 420.02
  4. Step 4: Simplify right side
    433.20x = 272,651.78
  5. Step 5: Solve for x
    x = 272,651.78/433.20
  6. Step 6: Final answer
    x = 629.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.