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Finding the Fourth Proportional to 515.79, 773.15 and 258.75

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Solution

The fourth proportional to 515.79, 773.15 and 258.75 is: 387.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.79 : 773.15 = 258.75 : x
  2. Step 2: Convert to fraction form
    515.79/773.15 = 258.75/x
  3. Step 3: Cross multiply
    515.79x = 773.15 × 258.75
  4. Step 4: Simplify right side
    515.79x = 200,051.27
  5. Step 5: Solve for x
    x = 200,051.27/515.79
  6. Step 6: Final answer
    x = 387.85

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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.