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Finding the Fourth Proportional to 490.42, 675.69 and 478.24

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Solution

The fourth proportional to 490.42, 675.69 and 478.24 is: 658.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.42 : 675.69 = 478.24 : x
  2. Step 2: Convert to fraction form
    490.42/675.69 = 478.24/x
  3. Step 3: Cross multiply
    490.42x = 675.69 × 478.24
  4. Step 4: Simplify right side
    490.42x = 323,141.99
  5. Step 5: Solve for x
    x = 323,141.99/490.42
  6. Step 6: Final answer
    x = 658.91

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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.