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Finding the Fourth Proportional to 515.60, 771.78 and 384.82

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Solution

The fourth proportional to 515.60, 771.78 and 384.82 is: 576.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.60 : 771.78 = 384.82 : x
  2. Step 2: Convert to fraction form
    515.60/771.78 = 384.82/x
  3. Step 3: Cross multiply
    515.60x = 771.78 × 384.82
  4. Step 4: Simplify right side
    515.60x = 296,996.38
  5. Step 5: Solve for x
    x = 296,996.38/515.60
  6. Step 6: Final answer
    x = 576.02

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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.