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Finding the Fourth Proportional to 519.16, 716.58 and 409

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Solution

The fourth proportional to 519.16, 716.58 and 409 is: 564.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.16 : 716.58 = 409 : x
  2. Step 2: Convert to fraction form
    519.16/716.58 = 409/x
  3. Step 3: Cross multiply
    519.16x = 716.58 × 409
  4. Step 4: Simplify right side
    519.16x = 293,081.22
  5. Step 5: Solve for x
    x = 293,081.22/519.16
  6. Step 6: Final answer
    x = 564.53

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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.