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Finding the Fourth Proportional to 516.70, 770.65 and 490.65

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Solution

The fourth proportional to 516.70, 770.65 and 490.65 is: 731.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.70 : 770.65 = 490.65 : x
  2. Step 2: Convert to fraction form
    516.70/770.65 = 490.65/x
  3. Step 3: Cross multiply
    516.70x = 770.65 × 490.65
  4. Step 4: Simplify right side
    516.70x = 378,119.42
  5. Step 5: Solve for x
    x = 378,119.42/516.70
  6. Step 6: Final answer
    x = 731.80

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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.