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Finding the Fourth Proportional to 490.21, 732.66 and 451.29

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Solution

The fourth proportional to 490.21, 732.66 and 451.29 is: 674.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.21 : 732.66 = 451.29 : x
  2. Step 2: Convert to fraction form
    490.21/732.66 = 451.29/x
  3. Step 3: Cross multiply
    490.21x = 732.66 × 451.29
  4. Step 4: Simplify right side
    490.21x = 330,642.13
  5. Step 5: Solve for x
    x = 330,642.13/490.21
  6. Step 6: Final answer
    x = 674.49

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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.