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Finding the Fourth Proportional to 570.20, 850.76 and 516.38

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Solution

The fourth proportional to 570.20, 850.76 and 516.38 is: 770.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.20 : 850.76 = 516.38 : x
  2. Step 2: Convert to fraction form
    570.20/850.76 = 516.38/x
  3. Step 3: Cross multiply
    570.20x = 850.76 × 516.38
  4. Step 4: Simplify right side
    570.20x = 439,315.45
  5. Step 5: Solve for x
    x = 439,315.45/570.20
  6. Step 6: Final answer
    x = 770.46

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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.