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Finding the Fourth Proportional to 570.76, 851.39 and 516.04

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Solution

The fourth proportional to 570.76, 851.39 and 516.04 is: 769.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.76 : 851.39 = 516.04 : x
  2. Step 2: Convert to fraction form
    570.76/851.39 = 516.04/x
  3. Step 3: Cross multiply
    570.76x = 851.39 × 516.04
  4. Step 4: Simplify right side
    570.76x = 439,351.30
  5. Step 5: Solve for x
    x = 439,351.30/570.76
  6. Step 6: Final answer
    x = 769.77

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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.