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Finding the Fourth Proportional to 519.71, 716.99 and 478.26

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Solution

The fourth proportional to 519.71, 716.99 and 478.26 is: 659.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.71 : 716.99 = 478.26 : x
  2. Step 2: Convert to fraction form
    519.71/716.99 = 478.26/x
  3. Step 3: Cross multiply
    519.71x = 716.99 × 478.26
  4. Step 4: Simplify right side
    519.71x = 342,905.25
  5. Step 5: Solve for x
    x = 342,905.25/519.71
  6. Step 6: Final answer
    x = 659.81

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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.