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Finding the Fourth Proportional to 517.83, 712.79 and 452.22

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Solution

The fourth proportional to 517.83, 712.79 and 452.22 is: 622.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.83 : 712.79 = 452.22 : x
  2. Step 2: Convert to fraction form
    517.83/712.79 = 452.22/x
  3. Step 3: Cross multiply
    517.83x = 712.79 × 452.22
  4. Step 4: Simplify right side
    517.83x = 322,335.63
  5. Step 5: Solve for x
    x = 322,335.63/517.83
  6. Step 6: Final answer
    x = 622.47

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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.