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Finding the Fourth Proportional to 429.93, 646.11 and 419.00

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Solution

The fourth proportional to 429.93, 646.11 and 419.00 is: 629.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.93 : 646.11 = 419.00 : x
  2. Step 2: Convert to fraction form
    429.93/646.11 = 419.00/x
  3. Step 3: Cross multiply
    429.93x = 646.11 × 419.00
  4. Step 4: Simplify right side
    429.93x = 270,716.86
  5. Step 5: Solve for x
    x = 270,716.86/429.93
  6. Step 6: Final answer
    x = 629.68

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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.