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Finding the Fourth Proportional to 519.94, 717.69 and 345.25

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Solution

The fourth proportional to 519.94, 717.69 and 345.25 is: 476.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.94 : 717.69 = 345.25 : x
  2. Step 2: Convert to fraction form
    519.94/717.69 = 345.25/x
  3. Step 3: Cross multiply
    519.94x = 717.69 × 345.25
  4. Step 4: Simplify right side
    519.94x = 247,782.47
  5. Step 5: Solve for x
    x = 247,782.47/519.94
  6. Step 6: Final answer
    x = 476.56

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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.