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Finding the Fourth Proportional to 516.68, 774.38 and 285.68

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Solution

The fourth proportional to 516.68, 774.38 and 285.68 is: 428.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.68 : 774.38 = 285.68 : x
  2. Step 2: Convert to fraction form
    516.68/774.38 = 285.68/x
  3. Step 3: Cross multiply
    516.68x = 774.38 × 285.68
  4. Step 4: Simplify right side
    516.68x = 221,224.88
  5. Step 5: Solve for x
    x = 221,224.88/516.68
  6. Step 6: Final answer
    x = 428.17

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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.