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Finding the Fourth Proportional to 519.17, 716.34 and 309.42

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Solution

The fourth proportional to 519.17, 716.34 and 309.42 is: 426.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.17 : 716.34 = 309.42 : x
  2. Step 2: Convert to fraction form
    519.17/716.34 = 309.42/x
  3. Step 3: Cross multiply
    519.17x = 716.34 × 309.42
  4. Step 4: Simplify right side
    519.17x = 221,649.92
  5. Step 5: Solve for x
    x = 221,649.92/519.17
  6. Step 6: Final answer
    x = 426.93

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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.