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Finding the Fourth Proportional to 490.38, 738.93 and 405.60

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Solution

The fourth proportional to 490.38, 738.93 and 405.60 is: 611.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.38 : 738.93 = 405.60 : x
  2. Step 2: Convert to fraction form
    490.38/738.93 = 405.60/x
  3. Step 3: Cross multiply
    490.38x = 738.93 × 405.60
  4. Step 4: Simplify right side
    490.38x = 299,710.01
  5. Step 5: Solve for x
    x = 299,710.01/490.38
  6. Step 6: Final answer
    x = 611.18

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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.