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Finding the Fourth Proportional to 516.90, 775.43 and 256.91

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Solution

The fourth proportional to 516.90, 775.43 and 256.91 is: 385.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.90 : 775.43 = 256.91 : x
  2. Step 2: Convert to fraction form
    516.90/775.43 = 256.91/x
  3. Step 3: Cross multiply
    516.90x = 775.43 × 256.91
  4. Step 4: Simplify right side
    516.90x = 199,215.72
  5. Step 5: Solve for x
    x = 199,215.72/516.90
  6. Step 6: Final answer
    x = 385.41

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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.