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Finding the Fourth Proportional to 519.86, 716.62 and 409.15

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Solution

The fourth proportional to 519.86, 716.62 and 409.15 is: 564.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.86 : 716.62 = 409.15 : x
  2. Step 2: Convert to fraction form
    519.86/716.62 = 409.15/x
  3. Step 3: Cross multiply
    519.86x = 716.62 × 409.15
  4. Step 4: Simplify right side
    519.86x = 293,205.07
  5. Step 5: Solve for x
    x = 293,205.07/519.86
  6. Step 6: Final answer
    x = 564.01

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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.