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Finding the Fourth Proportional to 519.52, 716.96 and 496.32

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Solution

The fourth proportional to 519.52, 716.96 and 496.32 is: 684.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.52 : 716.96 = 496.32 : x
  2. Step 2: Convert to fraction form
    519.52/716.96 = 496.32/x
  3. Step 3: Cross multiply
    519.52x = 716.96 × 496.32
  4. Step 4: Simplify right side
    519.52x = 355,841.59
  5. Step 5: Solve for x
    x = 355,841.59/519.52
  6. Step 6: Final answer
    x = 684.94

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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.