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Finding the Fourth Proportional to 516.80, 774.29 and 505.87

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Solution

The fourth proportional to 516.80, 774.29 and 505.87 is: 757.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.80 : 774.29 = 505.87 : x
  2. Step 2: Convert to fraction form
    516.80/774.29 = 505.87/x
  3. Step 3: Cross multiply
    516.80x = 774.29 × 505.87
  4. Step 4: Simplify right side
    516.80x = 391,689.41
  5. Step 5: Solve for x
    x = 391,689.41/516.80
  6. Step 6: Final answer
    x = 757.91

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