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Finding the Fourth Proportional to 513.71, 766.82 and 475.64

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Solution

The fourth proportional to 513.71, 766.82 and 475.64 is: 709.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.71 : 766.82 = 475.64 : x
  2. Step 2: Convert to fraction form
    513.71/766.82 = 475.64/x
  3. Step 3: Cross multiply
    513.71x = 766.82 × 475.64
  4. Step 4: Simplify right side
    513.71x = 364,727.62
  5. Step 5: Solve for x
    x = 364,727.62/513.71
  6. Step 6: Final answer
    x = 709.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.