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Finding the Fourth Proportional to 490.61, 677.49 and 446.87

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Solution

The fourth proportional to 490.61, 677.49 and 446.87 is: 617.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.61 : 677.49 = 446.87 : x
  2. Step 2: Convert to fraction form
    490.61/677.49 = 446.87/x
  3. Step 3: Cross multiply
    490.61x = 677.49 × 446.87
  4. Step 4: Simplify right side
    490.61x = 302,749.96
  5. Step 5: Solve for x
    x = 302,749.96/490.61
  6. Step 6: Final answer
    x = 617.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.