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Finding the Fourth Proportional to 518.92, 716.01 and 309.19

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Solution

The fourth proportional to 518.92, 716.01 and 309.19 is: 426.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.92 : 716.01 = 309.19 : x
  2. Step 2: Convert to fraction form
    518.92/716.01 = 309.19/x
  3. Step 3: Cross multiply
    518.92x = 716.01 × 309.19
  4. Step 4: Simplify right side
    518.92x = 221,383.13
  5. Step 5: Solve for x
    x = 221,383.13/518.92
  6. Step 6: Final answer
    x = 426.62

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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.