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Finding the Fourth Proportional to 516.64, 712.95 and 280.57

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Solution

The fourth proportional to 516.64, 712.95 and 280.57 is: 387.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.64 : 712.95 = 280.57 : x
  2. Step 2: Convert to fraction form
    516.64/712.95 = 280.57/x
  3. Step 3: Cross multiply
    516.64x = 712.95 × 280.57
  4. Step 4: Simplify right side
    516.64x = 200,032.38
  5. Step 5: Solve for x
    x = 200,032.38/516.64
  6. Step 6: Final answer
    x = 387.18

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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.