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Finding the Fourth Proportional to 796.98, 1,099.65 and 482.23

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Solution

The fourth proportional to 796.98, 1,099.65 and 482.23 is: 665.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.98 : 1,099.65 = 482.23 : x
  2. Step 2: Convert to fraction form
    796.98/1,099.65 = 482.23/x
  3. Step 3: Cross multiply
    796.98x = 1,099.65 × 482.23
  4. Step 4: Simplify right side
    796.98x = 530,283.18
  5. Step 5: Solve for x
    x = 530,283.18/796.98
  6. Step 6: Final answer
    x = 665.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.