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Finding the Fourth Proportional to 516.66, 713.01 and 283.80

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Solution

The fourth proportional to 516.66, 713.01 and 283.80 is: 391.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    516.66 : 713.01 = 283.80 : x
  2. Step 2: Convert to fraction form
    516.66/713.01 = 283.80/x
  3. Step 3: Cross multiply
    516.66x = 713.01 × 283.80
  4. Step 4: Simplify right side
    516.66x = 202,352.24
  5. Step 5: Solve for x
    x = 202,352.24/516.66
  6. Step 6: Final answer
    x = 391.65

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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.