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Finding the Fourth Proportional to 517.22, 713.72 and 293.15

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Solution

The fourth proportional to 517.22, 713.72 and 293.15 is: 404.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.22 : 713.72 = 293.15 : x
  2. Step 2: Convert to fraction form
    517.22/713.72 = 293.15/x
  3. Step 3: Cross multiply
    517.22x = 713.72 × 293.15
  4. Step 4: Simplify right side
    517.22x = 209,221.98
  5. Step 5: Solve for x
    x = 209,221.98/517.22
  6. Step 6: Final answer
    x = 404.52

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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.