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Finding the Fourth Proportional to 490.16, 731.31 and 453.71

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Solution

The fourth proportional to 490.16, 731.31 and 453.71 is: 676.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.16 : 731.31 = 453.71 : x
  2. Step 2: Convert to fraction form
    490.16/731.31 = 453.71/x
  3. Step 3: Cross multiply
    490.16x = 731.31 × 453.71
  4. Step 4: Simplify right side
    490.16x = 331,802.66
  5. Step 5: Solve for x
    x = 331,802.66/490.16
  6. Step 6: Final answer
    x = 676.93

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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.