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Finding the Fourth Proportional to 429.74, 641.34 and 418.80

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Solution

The fourth proportional to 429.74, 641.34 and 418.80 is: 625.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.74 : 641.34 = 418.80 : x
  2. Step 2: Convert to fraction form
    429.74/641.34 = 418.80/x
  3. Step 3: Cross multiply
    429.74x = 641.34 × 418.80
  4. Step 4: Simplify right side
    429.74x = 268,593.19
  5. Step 5: Solve for x
    x = 268,593.19/429.74
  6. Step 6: Final answer
    x = 625.02

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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.