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Finding the Fourth Proportional to 796.55, 1,098.96 and 517.14

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Solution

The fourth proportional to 796.55, 1,098.96 and 517.14 is: 713.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    796.55 : 1,098.96 = 517.14 : x
  2. Step 2: Convert to fraction form
    796.55/1,098.96 = 517.14/x
  3. Step 3: Cross multiply
    796.55x = 1,098.96 × 517.14
  4. Step 4: Simplify right side
    796.55x = 568,316.17
  5. Step 5: Solve for x
    x = 568,316.17/796.55
  6. Step 6: Final answer
    x = 713.47

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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.