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Finding the Fourth Proportional to 429.74, 641.49 and 367.77

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Solution

The fourth proportional to 429.74, 641.49 and 367.77 is: 548.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.74 : 641.49 = 367.77 : x
  2. Step 2: Convert to fraction form
    429.74/641.49 = 367.77/x
  3. Step 3: Cross multiply
    429.74x = 641.49 × 367.77
  4. Step 4: Simplify right side
    429.74x = 235,920.78
  5. Step 5: Solve for x
    x = 235,920.78/429.74
  6. Step 6: Final answer
    x = 548.99

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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.