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Finding the Fourth Proportional to 513.60, 769.86 and 391.56

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Solution

The fourth proportional to 513.60, 769.86 and 391.56 is: 586.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.60 : 769.86 = 391.56 : x
  2. Step 2: Convert to fraction form
    513.60/769.86 = 391.56/x
  3. Step 3: Cross multiply
    513.60x = 769.86 × 391.56
  4. Step 4: Simplify right side
    513.60x = 301,446.38
  5. Step 5: Solve for x
    x = 301,446.38/513.60
  6. Step 6: Final answer
    x = 586.93

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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.