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Finding the Fourth Proportional to 519.82, 716.62 and 426.12

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Solution

The fourth proportional to 519.82, 716.62 and 426.12 is: 587.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.82 : 716.62 = 426.12 : x
  2. Step 2: Convert to fraction form
    519.82/716.62 = 426.12/x
  3. Step 3: Cross multiply
    519.82x = 716.62 × 426.12
  4. Step 4: Simplify right side
    519.82x = 305,366.11
  5. Step 5: Solve for x
    x = 305,366.11/519.82
  6. Step 6: Final answer
    x = 587.45

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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.