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Finding the Fourth Proportional to 429.63, 641.26 and 419.27

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Solution

The fourth proportional to 429.63, 641.26 and 419.27 is: 625.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.63 : 641.26 = 419.27 : x
  2. Step 2: Convert to fraction form
    429.63/641.26 = 419.27/x
  3. Step 3: Cross multiply
    429.63x = 641.26 × 419.27
  4. Step 4: Simplify right side
    429.63x = 268,861.08
  5. Step 5: Solve for x
    x = 268,861.08/429.63
  6. Step 6: Final answer
    x = 625.80

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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.