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Finding the Fourth Proportional to 518.12, 713.04 and 391.76

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Solution

The fourth proportional to 518.12, 713.04 and 391.76 is: 539.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.12 : 713.04 = 391.76 : x
  2. Step 2: Convert to fraction form
    518.12/713.04 = 391.76/x
  3. Step 3: Cross multiply
    518.12x = 713.04 × 391.76
  4. Step 4: Simplify right side
    518.12x = 279,340.55
  5. Step 5: Solve for x
    x = 279,340.55/518.12
  6. Step 6: Final answer
    x = 539.14

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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.