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Finding the Fourth Proportional to 816.60, 1,126.46 and 517.30

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Solution

The fourth proportional to 816.60, 1,126.46 and 517.30 is: 713.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    816.60 : 1,126.46 = 517.30 : x
  2. Step 2: Convert to fraction form
    816.60/1,126.46 = 517.30/x
  3. Step 3: Cross multiply
    816.60x = 1,126.46 × 517.30
  4. Step 4: Simplify right side
    816.60x = 582,712.36
  5. Step 5: Solve for x
    x = 582,712.36/816.60
  6. Step 6: Final answer
    x = 713.58

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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.