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Finding the Fourth Proportional to 796.56, 1,099.14 and 486

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Solution

The fourth proportional to 796.56, 1,099.14 and 486 is: 670.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.56 : 1,099.14 = 486 : x
  2. Step 2: Convert to fraction form
    796.56/1,099.14 = 486/x
  3. Step 3: Cross multiply
    796.56x = 1,099.14 × 486
  4. Step 4: Simplify right side
    796.56x = 534,182.04
  5. Step 5: Solve for x
    x = 534,182.04/796.56
  6. Step 6: Final answer
    x = 670.61

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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.