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Finding the Fourth Proportional to 518.94, 716.34 and 319.80

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Solution

The fourth proportional to 518.94, 716.34 and 319.80 is: 441.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.94 : 716.34 = 319.80 : x
  2. Step 2: Convert to fraction form
    518.94/716.34 = 319.80/x
  3. Step 3: Cross multiply
    518.94x = 716.34 × 319.80
  4. Step 4: Simplify right side
    518.94x = 229,085.53
  5. Step 5: Solve for x
    x = 229,085.53/518.94
  6. Step 6: Final answer
    x = 441.45

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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.