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Finding the Fourth Proportional to 513.61, 766.68 and 475.54

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Solution

The fourth proportional to 513.61, 766.68 and 475.54 is: 709.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    513.61 : 766.68 = 475.54 : x
  2. Step 2: Convert to fraction form
    513.61/766.68 = 475.54/x
  3. Step 3: Cross multiply
    513.61x = 766.68 × 475.54
  4. Step 4: Simplify right side
    513.61x = 364,583.31
  5. Step 5: Solve for x
    x = 364,583.31/513.61
  6. Step 6: Final answer
    x = 709.85

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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.