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Finding the Fourth Proportional to 513.48, 769.65 and 391.34

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Solution

The fourth proportional to 513.48, 769.65 and 391.34 is: 586.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.48 : 769.65 = 391.34 : x
  2. Step 2: Convert to fraction form
    513.48/769.65 = 391.34/x
  3. Step 3: Cross multiply
    513.48x = 769.65 × 391.34
  4. Step 4: Simplify right side
    513.48x = 301,194.83
  5. Step 5: Solve for x
    x = 301,194.83/513.48
  6. Step 6: Final answer
    x = 586.58

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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.