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Finding the Fourth Proportional to 490.07, 736.12 and 416.93

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Solution

The fourth proportional to 490.07, 736.12 and 416.93 is: 626.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.07 : 736.12 = 416.93 : x
  2. Step 2: Convert to fraction form
    490.07/736.12 = 416.93/x
  3. Step 3: Cross multiply
    490.07x = 736.12 × 416.93
  4. Step 4: Simplify right side
    490.07x = 306,910.51
  5. Step 5: Solve for x
    x = 306,910.51/490.07
  6. Step 6: Final answer
    x = 626.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.