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Finding the Fourth Proportional to 516.65, 712.97 and 283.77

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Solution

The fourth proportional to 516.65, 712.97 and 283.77 is: 391.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.65 : 712.97 = 283.77 : x
  2. Step 2: Convert to fraction form
    516.65/712.97 = 283.77/x
  3. Step 3: Cross multiply
    516.65x = 712.97 × 283.77
  4. Step 4: Simplify right side
    516.65x = 202,318.08
  5. Step 5: Solve for x
    x = 202,318.08/516.65
  6. Step 6: Final answer
    x = 391.60

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Why These Related Problems?

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