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Finding the Fourth Proportional to 518.29, 781.31 and 483.92

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Solution

The fourth proportional to 518.29, 781.31 and 483.92 is: 729.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.29 : 781.31 = 483.92 : x
  2. Step 2: Convert to fraction form
    518.29/781.31 = 483.92/x
  3. Step 3: Cross multiply
    518.29x = 781.31 × 483.92
  4. Step 4: Simplify right side
    518.29x = 378,087.63
  5. Step 5: Solve for x
    x = 378,087.63/518.29
  6. Step 6: Final answer
    x = 729.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.