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Finding the Fourth Proportional to 518.86, 777.30 and 258.55

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Solution

The fourth proportional to 518.86, 777.30 and 258.55 is: 387.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.86 : 777.30 = 258.55 : x
  2. Step 2: Convert to fraction form
    518.86/777.30 = 258.55/x
  3. Step 3: Cross multiply
    518.86x = 777.30 × 258.55
  4. Step 4: Simplify right side
    518.86x = 200,970.92
  5. Step 5: Solve for x
    x = 200,970.92/518.86
  6. Step 6: Final answer
    x = 387.33

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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.