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Finding the Fourth Proportional to 513.68, 709.08 and 338.96

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Solution

The fourth proportional to 513.68, 709.08 and 338.96 is: 467.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.68 : 709.08 = 338.96 : x
  2. Step 2: Convert to fraction form
    513.68/709.08 = 338.96/x
  3. Step 3: Cross multiply
    513.68x = 709.08 × 338.96
  4. Step 4: Simplify right side
    513.68x = 240,349.76
  5. Step 5: Solve for x
    x = 240,349.76/513.68
  6. Step 6: Final answer
    x = 467.90

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.