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Finding the Fourth Proportional to 513.79, 771.60 and 398.37

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Solution

The fourth proportional to 513.79, 771.60 and 398.37 is: 598.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.79 : 771.60 = 398.37 : x
  2. Step 2: Convert to fraction form
    513.79/771.60 = 398.37/x
  3. Step 3: Cross multiply
    513.79x = 771.60 × 398.37
  4. Step 4: Simplify right side
    513.79x = 307,381.22
  5. Step 5: Solve for x
    x = 307,381.22/513.79
  6. Step 6: Final answer
    x = 598.26

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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.