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Finding the Fourth Proportional to 665.39, 998.13 and 484.94

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Solution

The fourth proportional to 665.39, 998.13 and 484.94 is: 727.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    665.39 : 998.13 = 484.94 : x
  2. Step 2: Convert to fraction form
    665.39/998.13 = 484.94/x
  3. Step 3: Cross multiply
    665.39x = 998.13 × 484.94
  4. Step 4: Simplify right side
    665.39x = 484,033.16
  5. Step 5: Solve for x
    x = 484,033.16/665.39
  6. Step 6: Final answer
    x = 727.44

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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.