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Finding the Fourth Proportional to 519.52, 716.71 and 342.44

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Solution

The fourth proportional to 519.52, 716.71 and 342.44 is: 472.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.52 : 716.71 = 342.44 : x
  2. Step 2: Convert to fraction form
    519.52/716.71 = 342.44/x
  3. Step 3: Cross multiply
    519.52x = 716.71 × 342.44
  4. Step 4: Simplify right side
    519.52x = 245,430.17
  5. Step 5: Solve for x
    x = 245,430.17/519.52
  6. Step 6: Final answer
    x = 472.42

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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.