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Finding the Fourth Proportional to 581.08, 866.43 and 516.68

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Solution

The fourth proportional to 581.08, 866.43 and 516.68 is: 770.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.08 : 866.43 = 516.68 : x
  2. Step 2: Convert to fraction form
    581.08/866.43 = 516.68/x
  3. Step 3: Cross multiply
    581.08x = 866.43 × 516.68
  4. Step 4: Simplify right side
    581.08x = 447,667.05
  5. Step 5: Solve for x
    x = 447,667.05/581.08
  6. Step 6: Final answer
    x = 770.41

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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.