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Finding the Fourth Proportional to 519.71, 716.87 and 309.75

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Solution

The fourth proportional to 519.71, 716.87 and 309.75 is: 427.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.71 : 716.87 = 309.75 : x
  2. Step 2: Convert to fraction form
    519.71/716.87 = 309.75/x
  3. Step 3: Cross multiply
    519.71x = 716.87 × 309.75
  4. Step 4: Simplify right side
    519.71x = 222,048.57
  5. Step 5: Solve for x
    x = 222,048.57/519.71
  6. Step 6: Final answer
    x = 427.26

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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.