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Finding the Fourth Proportional to 516.44, 712.70 and 280.40

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Solution

The fourth proportional to 516.44, 712.70 and 280.40 is: 386.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.44 : 712.70 = 280.40 : x
  2. Step 2: Convert to fraction form
    516.44/712.70 = 280.40/x
  3. Step 3: Cross multiply
    516.44x = 712.70 × 280.40
  4. Step 4: Simplify right side
    516.44x = 199,837.17
  5. Step 5: Solve for x
    x = 199,837.17/516.44
  6. Step 6: Final answer
    x = 386.95

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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.