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Finding the Fourth Proportional to 796.82, 1,099.90 and 534.98

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Solution

The fourth proportional to 796.82, 1,099.90 and 534.98 is: 738.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.82 : 1,099.90 = 534.98 : x
  2. Step 2: Convert to fraction form
    796.82/1,099.90 = 534.98/x
  3. Step 3: Cross multiply
    796.82x = 1,099.90 × 534.98
  4. Step 4: Simplify right side
    796.82x = 588,424.50
  5. Step 5: Solve for x
    x = 588,424.50/796.82
  6. Step 6: Final answer
    x = 738.47

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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.