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Finding the Fourth Proportional to 515.50, 771.86 and 309.77

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Solution

The fourth proportional to 515.50, 771.86 and 309.77 is: 463.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.50 : 771.86 = 309.77 : x
  2. Step 2: Convert to fraction form
    515.50/771.86 = 309.77/x
  3. Step 3: Cross multiply
    515.50x = 771.86 × 309.77
  4. Step 4: Simplify right side
    515.50x = 239,103.22
  5. Step 5: Solve for x
    x = 239,103.22/515.50
  6. Step 6: Final answer
    x = 463.83

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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.