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Finding the Fourth Proportional to 490.10, 731.32 and 438.31

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Solution

The fourth proportional to 490.10, 731.32 and 438.31 is: 654.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.10 : 731.32 = 438.31 : x
  2. Step 2: Convert to fraction form
    490.10/731.32 = 438.31/x
  3. Step 3: Cross multiply
    490.10x = 731.32 × 438.31
  4. Step 4: Simplify right side
    490.10x = 320,544.87
  5. Step 5: Solve for x
    x = 320,544.87/490.10
  6. Step 6: Final answer
    x = 654.04

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.