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Finding the Fourth Proportional to 516.70, 774.90 and 285.71

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Solution

The fourth proportional to 516.70, 774.90 and 285.71 is: 428.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.70 : 774.90 = 285.71 : x
  2. Step 2: Convert to fraction form
    516.70/774.90 = 285.71/x
  3. Step 3: Cross multiply
    516.70x = 774.90 × 285.71
  4. Step 4: Simplify right side
    516.70x = 221,392.80
  5. Step 5: Solve for x
    x = 221,392.80/516.70
  6. Step 6: Final answer
    x = 428.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.