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Finding the Fourth Proportional to 446.87, 674.30 and 429.99

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Solution

The fourth proportional to 446.87, 674.30 and 429.99 is: 648.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.87 : 674.30 = 429.99 : x
  2. Step 2: Convert to fraction form
    446.87/674.30 = 429.99/x
  3. Step 3: Cross multiply
    446.87x = 674.30 × 429.99
  4. Step 4: Simplify right side
    446.87x = 289,940.11
  5. Step 5: Solve for x
    x = 289,940.11/446.87
  6. Step 6: Final answer
    x = 648.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.