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Finding the Fourth Proportional to 516.57, 712.89 and 283.71

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Solution

The fourth proportional to 516.57, 712.89 and 283.71 is: 391.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.57 : 712.89 = 283.71 : x
  2. Step 2: Convert to fraction form
    516.57/712.89 = 283.71/x
  3. Step 3: Cross multiply
    516.57x = 712.89 × 283.71
  4. Step 4: Simplify right side
    516.57x = 202,254.02
  5. Step 5: Solve for x
    x = 202,254.02/516.57
  6. Step 6: Final answer
    x = 391.53

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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.