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Finding the Fourth Proportional to 519.14, 716.10 and 309.18

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Solution

The fourth proportional to 519.14, 716.10 and 309.18 is: 426.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.14 : 716.10 = 309.18 : x
  2. Step 2: Convert to fraction form
    519.14/716.10 = 309.18/x
  3. Step 3: Cross multiply
    519.14x = 716.10 × 309.18
  4. Step 4: Simplify right side
    519.14x = 221,403.80
  5. Step 5: Solve for x
    x = 221,403.80/519.14
  6. Step 6: Final answer
    x = 426.48

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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.