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Finding the Fourth Proportional to 516.64, 770.06 and 486.69

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Solution

The fourth proportional to 516.64, 770.06 and 486.69 is: 725.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.64 : 770.06 = 486.69 : x
  2. Step 2: Convert to fraction form
    516.64/770.06 = 486.69/x
  3. Step 3: Cross multiply
    516.64x = 770.06 × 486.69
  4. Step 4: Simplify right side
    516.64x = 374,780.50
  5. Step 5: Solve for x
    x = 374,780.50/516.64
  6. Step 6: Final answer
    x = 725.42

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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.