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Finding the Fourth Proportional to 516.20, 770.30 and 461.50

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Solution

The fourth proportional to 516.20, 770.30 and 461.50 is: 688.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.20 : 770.30 = 461.50 : x
  2. Step 2: Convert to fraction form
    516.20/770.30 = 461.50/x
  3. Step 3: Cross multiply
    516.20x = 770.30 × 461.50
  4. Step 4: Simplify right side
    516.20x = 355,493.45
  5. Step 5: Solve for x
    x = 355,493.45/516.20
  6. Step 6: Final answer
    x = 688.67

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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.