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Finding the Fourth Proportional to 518.59, 778.06 and 258.56

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Solution

The fourth proportional to 518.59, 778.06 and 258.56 is: 387.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.59 : 778.06 = 258.56 : x
  2. Step 2: Convert to fraction form
    518.59/778.06 = 258.56/x
  3. Step 3: Cross multiply
    518.59x = 778.06 × 258.56
  4. Step 4: Simplify right side
    518.59x = 201,177.79
  5. Step 5: Solve for x
    x = 201,177.79/518.59
  6. Step 6: Final answer
    x = 387.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.