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Finding the Fourth Proportional to 518.83, 716.07 and 409.14

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Solution

The fourth proportional to 518.83, 716.07 and 409.14 is: 564.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.83 : 716.07 = 409.14 : x
  2. Step 2: Convert to fraction form
    518.83/716.07 = 409.14/x
  3. Step 3: Cross multiply
    518.83x = 716.07 × 409.14
  4. Step 4: Simplify right side
    518.83x = 292,972.88
  5. Step 5: Solve for x
    x = 292,972.88/518.83
  6. Step 6: Final answer
    x = 564.68

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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.