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Finding the Fourth Proportional to 664.70, 993.51 and 490.37

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Solution

The fourth proportional to 664.70, 993.51 and 490.37 is: 732.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    664.70 : 993.51 = 490.37 : x
  2. Step 2: Convert to fraction form
    664.70/993.51 = 490.37/x
  3. Step 3: Cross multiply
    664.70x = 993.51 × 490.37
  4. Step 4: Simplify right side
    664.70x = 487,182.53
  5. Step 5: Solve for x
    x = 487,182.53/664.70
  6. Step 6: Final answer
    x = 732.94

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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.