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Finding the Fourth Proportional to 816.23, 1,126.42 and 517.57

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Solution

The fourth proportional to 816.23, 1,126.42 and 517.57 is: 714.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.23 : 1,126.42 = 517.57 : x
  2. Step 2: Convert to fraction form
    816.23/1,126.42 = 517.57/x
  3. Step 3: Cross multiply
    816.23x = 1,126.42 × 517.57
  4. Step 4: Simplify right side
    816.23x = 582,997.09
  5. Step 5: Solve for x
    x = 582,997.09/816.23
  6. Step 6: Final answer
    x = 714.25

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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.