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Finding the Fourth Proportional to 516.91, 713.33 and 284.03

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Solution

The fourth proportional to 516.91, 713.33 and 284.03 is: 391.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.91 : 713.33 = 284.03 : x
  2. Step 2: Convert to fraction form
    516.91/713.33 = 284.03/x
  3. Step 3: Cross multiply
    516.91x = 713.33 × 284.03
  4. Step 4: Simplify right side
    516.91x = 202,607.12
  5. Step 5: Solve for x
    x = 202,607.12/516.91
  6. Step 6: Final answer
    x = 391.96

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.