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Finding the Fourth Proportional to 515.97, 711.77 and 319.44

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Solution

The fourth proportional to 515.97, 711.77 and 319.44 is: 440.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.97 : 711.77 = 319.44 : x
  2. Step 2: Convert to fraction form
    515.97/711.77 = 319.44/x
  3. Step 3: Cross multiply
    515.97x = 711.77 × 319.44
  4. Step 4: Simplify right side
    515.97x = 227,367.81
  5. Step 5: Solve for x
    x = 227,367.81/515.97
  6. Step 6: Final answer
    x = 440.67

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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.