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Finding the Fourth Proportional to 519.31, 715.82 and 408.64

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Solution

The fourth proportional to 519.31, 715.82 and 408.64 is: 563.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.31 : 715.82 = 408.64 : x
  2. Step 2: Convert to fraction form
    519.31/715.82 = 408.64/x
  3. Step 3: Cross multiply
    519.31x = 715.82 × 408.64
  4. Step 4: Simplify right side
    519.31x = 292,512.68
  5. Step 5: Solve for x
    x = 292,512.68/519.31
  6. Step 6: Final answer
    x = 563.27

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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.