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Finding the Fourth Proportional to 713.16, 984.33 and 516.63

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Solution

The fourth proportional to 713.16, 984.33 and 516.63 is: 713.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.16 : 984.33 = 516.63 : x
  2. Step 2: Convert to fraction form
    713.16/984.33 = 516.63/x
  3. Step 3: Cross multiply
    713.16x = 984.33 × 516.63
  4. Step 4: Simplify right side
    713.16x = 508,534.41
  5. Step 5: Solve for x
    x = 508,534.41/713.16
  6. Step 6: Final answer
    x = 713.07

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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.