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Finding the Fourth Proportional to 979.79, 1,467.05 and 516.61

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Solution

The fourth proportional to 979.79, 1,467.05 and 516.61 is: 773.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.79 : 1,467.05 = 516.61 : x
  2. Step 2: Convert to fraction form
    979.79/1,467.05 = 516.61/x
  3. Step 3: Cross multiply
    979.79x = 1,467.05 × 516.61
  4. Step 4: Simplify right side
    979.79x = 757,885.37
  5. Step 5: Solve for x
    x = 757,885.37/979.79
  6. Step 6: Final answer
    x = 773.52

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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.